58255478400 has 768 divisors, whose sum is σ = 229485312000. Its totient is φ = 12708003840.

The previous prime is 58255478389. The next prime is 58255478431. The reversal of 58255478400 is 487455285.

It is a super-2 number, since 2×58255478400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 58255478400.

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, 325449511 + ... + 325449689.

It is an arithmetic number, because the mean of its divisors is an integer number (298809000).

Almost surely, 2^58255478400 is an apocalyptic number.

58255478400 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 58255478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114742656000).

58255478400 is an abundant number, since it is smaller than the sum of its proper divisors (171229833600).

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

58255478400 is a wasteful number, since it uses less digits than its factorization.

58255478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 48.

The spelling of 58255478400 in words is "fifty-eight billion, two hundred fifty-five million, four hundred seventy-eight thousand, four hundred".