125668825920 has 896 divisors, whose sum is σ = 497726208000. Its totient is φ = 29593681920.

The previous prime is 125668825913. The next prime is 125668825949. The reversal of 125668825920 is 29528866521.

125668825920 is a `hidden beast` number, since 1 + 2 + 566 + 8 + 8 + 2 + 59 + 20 = 666.

It is a super-2 number, since 2×125668825920² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 702060391 + ... + 702060569.

It is an arithmetic number, because the mean of its divisors is an integer number (555498000).

Almost surely, 2^125668825920 is an apocalyptic number.

125668825920 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 125668825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248863104000).

125668825920 is an abundant number, since it is smaller than the sum of its proper divisors (372057382080).

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

125668825920 is a wasteful number, since it uses less digits than its factorization.

125668825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 125668825920 in words is "one hundred twenty-five billion, six hundred sixty-eight million, eight hundred twenty-five thousand, nine hundred twenty".