54146852452800 has 252 divisors, whose sum is σ = 199086930801720. Its totient is φ = 13941258455040.

The previous prime is 54146852452757. The next prime is 54146852452811. The reversal of 54146852452800 is 825425864145.

54146852452800 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 68 + 52 + 4 + 528 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64413402 + ... + 65248601.

Almost surely, 2^{54146852452800} is an apocalyptic number.

54146852452800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54146852452800 is an abundant number, since it is smaller than the sum of its proper divisors (144940078348920).

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

54146852452800 is a wasteful number, since it uses less digits than its factorization.

54146852452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129662060 (or 129662042 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 54146852452800 in words is "fifty-four trillion, one hundred forty-six billion, eight hundred fifty-two million, four hundred fifty-two thousand, eight hundred".