125426647906560 has 2592 divisors, whose sum is σ = 601726045310208. Its totient is φ = 23406611005440.

The previous prime is 125426647906477. The next prime is 125426647906579. The reversal of 125426647906560 is 65609746624521.

It is a happy number.

125426647906560 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 2 + 6 + 64 + 7 + 9 + 0 + 6 + 560 = 666.

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

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, 5546649814 + ... + 5546672426.

It is an arithmetic number, because the mean of its divisors is an integer number (232147394024).

Almost surely, 2^{125426647906560} is an apocalyptic number.

125426647906560 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 125426647906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300863022655104).

125426647906560 is an abundant number, since it is smaller than the sum of its proper divisors (476299397403648).

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

125426647906560 is a wasteful number, since it uses less digits than its factorization.

125426647906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22721 (or 22691 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 125426647906560 in words is "one hundred twenty-five trillion, four hundred twenty-six billion, six hundred forty-seven million, nine hundred six thousand, five hundred sixty".