58385090400 has 576 divisors, whose sum is σ = 239377678848. Its totient is φ = 12030197760.

The previous prime is 58385090327. The next prime is 58385090447. The reversal of 58385090400 is 409058385.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9388092 + ... + 9394308.

It is an arithmetic number, because the mean of its divisors is an integer number (415586248).

Almost surely, 2^58385090400 is an apocalyptic number.

58385090400 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 58385090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119688839424).

58385090400 is an abundant number, since it is smaller than the sum of its proper divisors (180992588448).

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

58385090400 is a wasteful number, since it uses less digits than its factorization.

58385090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303 (or 6290 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 58385090400 in words is "fifty-eight billion, three hundred eighty-five million, ninety thousand, four hundred".