54084830400 has 126 divisors (see below), whose sum is σ = 192230308452. Its totient is φ = 14422617600.

The previous prime is 54084830339. The next prime is 54084830413. The reversal of 54084830400 is 403848045.

54084830400 is a `hidden beast` number, since 540 + 8 + 48 + 30 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1863546 + ... + 1892345.

Almost surely, 2^54084830400 is an apocalyptic number.

54084830400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54084830400 is an abundant number, since it is smaller than the sum of its proper divisors (138145478052).

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

54084830400 is a wasteful number, since it uses less digits than its factorization.

54084830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755919 (or 3755901 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 54084830400 in words is "fifty-four billion, eighty-four million, eight hundred thirty thousand, four hundred".