54058631894400 has 1152 divisors, whose sum is σ = 220581828288000. Its totient is φ = 11629215252480.

The previous prime is 54058631894387. The next prime is 54058631894413. The reversal of 54058631894400 is 449813685045.

It is an interprime number because it is at equal distance from previous prime (54058631894387) and next prime (54058631894413).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 951590797 + ... + 951647603.

It is an arithmetic number, because the mean of its divisors is an integer number (191477281500).

Almost surely, 2^{54058631894400} is an apocalyptic number.

54058631894400 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 54058631894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110290914144000).

54058631894400 is an abundant number, since it is smaller than the sum of its proper divisors (166523196393600).

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

54058631894400 is a wasteful number, since it uses less digits than its factorization.

54058631894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56889 (or 56841 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 54058631894400 in words is "fifty-four trillion, fifty-eight billion, six hundred thirty-one million, eight hundred ninety-four thousand, four hundred".