58978256400 has 720 divisors, whose sum is σ = 255715918848. Its totient is φ = 12275712000.

The previous prime is 58978256399. The next prime is 58978256401. The reversal of 58978256400 is 465287985.

58978256400 is a `hidden beast` number, since 5 + 8 + 9 + 78 + 2 + 564 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58978256399) and next prime (58978256401).

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (58978256401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13278180 + ... + 13282620.

Almost surely, 2^58978256400 is an apocalyptic number.

58978256400 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 58978256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127857959424).

58978256400 is an abundant number, since it is smaller than the sum of its proper divisors (196737662448).

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

58978256400 is a wasteful number, since it uses less digits than its factorization.

58978256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 58978256400 in words is "fifty-eight billion, nine hundred seventy-eight million, two hundred fifty-six thousand, four hundred".