58264970400 has 864 divisors, whose sum is σ = 267795859968. Its totient is φ = 11567923200.

The previous prime is 58264970371. The next prime is 58264970437. The reversal of 58264970400 is 407946285.

It is a happy number.

58264970400 is a `hidden beast` number, since 582 + 64 + 9 + 7 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11135785 + ... + 11141015.

It is an arithmetic number, because the mean of its divisors is an integer number (309948912).

Almost surely, 2^58264970400 is an apocalyptic number.

58264970400 is a gapful number since it is divisible by the number (50) 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 58264970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133897929984).

58264970400 is an abundant number, since it is smaller than the sum of its proper divisors (209530889568).

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

58264970400 is a wasteful number, since it uses less digits than its factorization.

58264970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5294 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 58264970400 in words is "fifty-eight billion, two hundred sixty-four million, nine hundred seventy thousand, four hundred".