54987193958400 has 1260 divisors, whose sum is σ = 223052513011944. Its totient is φ = 13329432576000.

The previous prime is 54987193958357. The next prime is 54987193958419. The reversal of 54987193958400 is 485939178945.

54987193958400 is a `hidden beast` number, since 5 + 4 + 9 + 8 + 7 + 1 + 9 + 39 + 584 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3284574030 + ... + 3284590770.

Almost surely, 2^{54987193958400} is an apocalyptic number.

54987193958400 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 54987193958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111526256505972).

54987193958400 is an abundant number, since it is smaller than the sum of its proper divisors (168065319053544).

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

54987193958400 is an equidigital number, since it uses as much as digits as its factorization.

54987193958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16808 (or 16762 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 54987193958400 in words is "fifty-four trillion, nine hundred eighty-seven billion, one hundred ninety-three million, nine hundred fifty-eight thousand, four hundred".