125766587520 has 2560 divisors, whose sum is σ = 607818816000. Its totient is φ = 24078974976.

The previous prime is 125766587509. The next prime is 125766587533. The reversal of 125766587520 is 25785667521.

125766587520 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 6 + 6 + 587 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3399096942 + ... + 3399096978.

It is an arithmetic number, because the mean of its divisors is an integer number (237429225).

Almost surely, 2^125766587520 is an apocalyptic number.

125766587520 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 125766587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303909408000).

125766587520 is an abundant number, since it is smaller than the sum of its proper divisors (482052228480).

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

125766587520 is a wasteful number, since it uses less digits than its factorization.

125766587520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 125766587520 in words is "one hundred twenty-five billion, seven hundred sixty-six million, five hundred eighty-seven thousand, five hundred twenty".