125509785024 has 224 divisors, whose sum is σ = 371958737920. Its totient is φ = 37096869888.

The previous prime is 125509784977. The next prime is 125509785053. The reversal of 125509785024 is 420587905521.

It is a super-2 number, since 2×125509785024² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7287207 + ... + 7304409.

It is an arithmetic number, because the mean of its divisors is an integer number (1660530080).

Almost surely, 2^125509785024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125509785024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185979368960).

125509785024 is an abundant number, since it is smaller than the sum of its proper divisors (246448952896).

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

125509785024 is a wasteful number, since it uses less digits than its factorization.

125509785024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17347 (or 17337 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 125509785024 in words is "one hundred twenty-five billion, five hundred nine million, seven hundred eighty-five thousand, twenty-four".