126657681454080 has 4224 divisors, whose sum is σ = 577991847536640. Its totient is φ = 26438714523648.

The previous prime is 126657681454037. The next prime is 126657681454123. The reversal of 126657681454080 is 80454186756621.

126657681454080 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 5 + 7 + 6 + 8 + 1 + 4 + 540 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (126657681454037) and next prime (126657681454123).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 126657681453999 and 126657681454017.

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 383 ways as a sum of consecutive naturals, for example, 345116298057 + ... + 345116298423.

Almost surely, 2^{126657681454080} is an apocalyptic number.

126657681454080 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 126657681454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288995923768320).

126657681454080 is an abundant number, since it is smaller than the sum of its proper divisors (451334166082560).

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

126657681454080 is an equidigital number, since it uses as much as digits as its factorization.

126657681454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 126657681454080 in words is "one hundred twenty-six trillion, six hundred fifty-seven billion, six hundred eighty-one million, four hundred fifty-four thousand, eighty".