58402234800 has 1080 divisors, whose sum is σ = 261533059424. Its totient is φ = 11751505920.

The previous prime is 58402234799. The next prime is 58402234871. The reversal of 58402234800 is 843220485.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 173300232 + ... + 173300568.

Almost surely, 2^58402234800 is an apocalyptic number.

58402234800 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 58402234800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130766529712).

58402234800 is an abundant number, since it is smaller than the sum of its proper divisors (203130824624).

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

58402234800 is a wasteful number, since it uses less digits than its factorization.

58402234800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 58402234800 in words is "fifty-eight billion, four hundred two million, two hundred thirty-four thousand, eight hundred".