54456654400 has 84 divisors (see below), whose sum is σ = 134043889392. Its totient is φ = 21775106560.

The previous prime is 54456654349. The next prime is 54456654457. The reversal of 54456654400 is 445665445.

54456654400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8001399 + ... + 8008201.

It is an arithmetic number, because the mean of its divisors is an integer number (1595760588).

Almost surely, 2^54456654400 is an apocalyptic number.

54456654400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54456654400 is an abundant number, since it is smaller than the sum of its proper divisors (79587234992).

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

54456654400 is a wasteful number, since it uses less digits than its factorization.

54456654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11828 (or 11813 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 43.

The spelling of 54456654400 in words is "fifty-four billion, four hundred fifty-six million, six hundred fifty-four thousand, four hundred".