54092966400 has 1680 divisors, whose sum is σ = 239585879808. Its totient is φ = 11943936000.

The previous prime is 54092966399. The next prime is 54092966419. The reversal of 54092966400 is 466929045.

54092966400 is a `hidden beast` number, since 540 + 9 + 2 + 9 + 66 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1744934385 + ... + 1744934415.

Almost surely, 2^54092966400 is an apocalyptic number.

54092966400 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 54092966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119792939904).

54092966400 is an abundant number, since it is smaller than the sum of its proper divisors (185492913408).

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

54092966400 is a wasteful number, since it uses less digits than its factorization.

54092966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 54092966400 in words is "fifty-four billion, ninety-two million, nine hundred sixty-six thousand, four hundred".