125110402560 has 1440 divisors, whose sum is σ = 538299260928. Its totient is φ = 26568622080.

The previous prime is 125110402559. The next prime is 125110402561. The reversal of 125110402560 is 65204011521.

125110402560 is a `hidden beast` number, since 1 + 2 + 51 + 10 + 40 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (125110402559) and next prime (125110402561).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×125110402560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125110402561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 985121217 + ... + 985121343.

Almost surely, 2^125110402560 is an apocalyptic number.

125110402560 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 125110402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269149630464).

125110402560 is an abundant number, since it is smaller than the sum of its proper divisors (413188858368).

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

125110402560 is a wasteful number, since it uses less digits than its factorization.

125110402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 125110402560 in words is "one hundred twenty-five billion, one hundred ten million, four hundred two thousand, five hundred sixty".