125623525500 has 288 divisors, whose sum is σ = 455085146880. Its totient is φ = 28851120000.

The previous prime is 125623525493. The next prime is 125623525513. The reversal of 125623525500 is 5525326521.

125623525500 is a `hidden beast` number, since 1 + 2 + 5 + 623 + 5 + 25 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 873715 + ... + 1007285.

It is an arithmetic number, because the mean of its divisors is an integer number (1580156760).

Almost surely, 2^125623525500 is an apocalyptic number.

125623525500 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 125623525500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227542573440).

125623525500 is an abundant number, since it is smaller than the sum of its proper divisors (329461621380).

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

125623525500 is a wasteful number, since it uses less digits than its factorization.

125623525500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133626 (or 133611 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 125623525500 in words is "one hundred twenty-five billion, six hundred twenty-three million, five hundred twenty-five thousand, five hundred".