58469345600 has 336 divisors, whose sum is σ = 153009331776. Its totient is φ = 21964800000.

The previous prime is 58469345567. The next prime is 58469345611. The reversal of 58469345600 is 654396485.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232945475 + ... + 232945725.

It is an arithmetic number, because the mean of its divisors is an integer number (455384916).

Almost surely, 2^58469345600 is an apocalyptic number.

58469345600 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 58469345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76504665888).

58469345600 is an abundant number, since it is smaller than the sum of its proper divisors (94539986176).

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

58469345600 is a wasteful number, since it uses less digits than its factorization.

58469345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 50.

The spelling of 58469345600 in words is "fifty-eight billion, four hundred sixty-nine million, three hundred forty-five thousand, six hundred".