59125090752 has 840 divisors, whose sum is σ = 224612923392. Its totient is φ = 15041894400.

The previous prime is 59125090741. The next prime is 59125090781. The reversal of 59125090752 is 25709052195.

59125090752 is a `hidden beast` number, since 5 + 91 + 2 + 509 + 0 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 59125090698 and 59125090707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 190112677 + ... + 190112987.

Almost surely, 2^59125090752 is an apocalyptic number.

59125090752 is a gapful number since it is divisible by the number (52) 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 59125090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112306461696).

59125090752 is an abundant number, since it is smaller than the sum of its proper divisors (165487832640).

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

59125090752 is a wasteful number, since it uses less digits than its factorization.

59125090752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 59125090752 in words is "fifty-nine billion, one hundred twenty-five million, ninety thousand, seven hundred fifty-two".