126676397352960 has 3456 divisors, whose sum is σ = 574491664131840. Its totient is φ = 26612618231808.

The previous prime is 126676397352881. The next prime is 126676397352997. The reversal of 126676397352960 is 69253793676621.

126676397352960 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 7 + 6 + 3 + 97 + 3 + 529 + 6 + 0 = 666.

126676397352960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×126676397352960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 543675525004 + ... + 543675525236.

It is an arithmetic number, because the mean of its divisors is an integer number (166230226890).

Almost surely, 2^{126676397352960} is an apocalyptic number.

126676397352960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126676397352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287245832065920).

126676397352960 is an abundant number, since it is smaller than the sum of its proper divisors (447815266778880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126676397352960 is an frugal number, since it uses more digits than its factorization.

126676397352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 925888320, while the sum is 72.

The spelling of 126676397352960 in words is "one hundred twenty-six trillion, six hundred seventy-six billion, three hundred ninety-seven million, three hundred fifty-two thousand, nine hundred sixty".