54204290400 has 144 divisors (see below), whose sum is σ = 190006995024. Its totient is φ = 13342586880.

The previous prime is 54204290389. The next prime is 54204290411. The reversal of 54204290400 is 409240245.

It is an interprime number because it is at equal distance from previous prime (54204290389) and next prime (54204290411).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837459 + ... + 899858.

It is an arithmetic number, because the mean of its divisors is an integer number (1319493021).

Almost surely, 2^54204290400 is an apocalyptic number.

54204290400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54204290400 is an abundant number, since it is smaller than the sum of its proper divisors (135802704624).

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

54204290400 is a wasteful number, since it uses less digits than its factorization.

54204290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737353 (or 1737340 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 54204290400 in words is "fifty-four billion, two hundred four million, two hundred ninety thousand, four hundred".