58772891520 has 1024 divisors, whose sum is σ = 253808640000. Its totient is φ = 12555067392.

The previous prime is 58772891459. The next prime is 58772891543. The reversal of 58772891520 is 2519827785.

58772891520 is a `hidden beast` number, since 5 + 8 + 7 + 7 + 28 + 91 + 520 = 666.

It is a super-4 number, since 4×58772891520⁴ (a number of 44 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245911561 + ... + 245911799.

It is an arithmetic number, because the mean of its divisors is an integer number (247860000).

Almost surely, 2^58772891520 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 58772891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126904320000).

58772891520 is an abundant number, since it is smaller than the sum of its proper divisors (195035748480).

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

58772891520 is a wasteful number, since it uses less digits than its factorization.

58772891520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 58772891520 in words is "fifty-eight billion, seven hundred seventy-two million, eight hundred ninety-one thousand, five hundred twenty".