59252788224 has 660 divisors, whose sum is σ = 210078205920. Its totient is φ = 16582164480.

The previous prime is 59252788207. The next prime is 59252788241. The reversal of 59252788224 is 42288725295.

59252788224 is a `hidden beast` number, since 5 + 92 + 527 + 8 + 8 + 2 + 24 = 666.

59252788224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (59252788207) and next prime (59252788241).

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 59 ways as a sum of consecutive naturals, for example, 247919497 + ... + 247919735.

It is an arithmetic number, because the mean of its divisors is an integer number (318300312).

Almost surely, 2^59252788224 is an apocalyptic number.

59252788224 is a gapful number since it is divisible by the number (54) 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 59252788224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105039102960).

59252788224 is an abundant number, since it is smaller than the sum of its proper divisors (150825417696).

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

59252788224 is a wasteful number, since it uses less digits than its factorization.

59252788224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 312 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 59252788224 in words is "fifty-nine billion, two hundred fifty-two million, seven hundred eighty-eight thousand, two hundred twenty-four".