126995852160 has 512 divisors, whose sum is σ = 459440640000. Its totient is φ = 33145085952.

The previous prime is 126995852141. The next prime is 126995852231. The reversal of 126995852160 is 61258599621.

126995852160 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 9 + 58 + 521 + 60 = 666.

It is a super-2 number, since 2×126995852160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 126995852097 and 126995852106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265126801 + ... + 265127279.

It is an arithmetic number, because the mean of its divisors is an integer number (897345000).

Almost surely, 2^126995852160 is an apocalyptic number.

126995852160 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 126995852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229720320000).

126995852160 is an abundant number, since it is smaller than the sum of its proper divisors (332444787840).

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

126995852160 is a wasteful number, since it uses less digits than its factorization.

126995852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 126995852160 in words is "one hundred twenty-six billion, nine hundred ninety-five million, eight hundred fifty-two thousand, one hundred sixty".