54134038800 has 120 divisors (see below), whose sum is σ = 192677117280. Its totient is φ = 14435740800.

The previous prime is 54134038793. The next prime is 54134038813. The reversal of 54134038800 is 883043145.

54134038800 is a `hidden beast` number, since 541 + 3 + 4 + 0 + 38 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 2495406 + ... + 2517005.

It is an arithmetic number, because the mean of its divisors is an integer number (1605642644).

Almost surely, 2^54134038800 is an apocalyptic number.

54134038800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54134038800 is an abundant number, since it is smaller than the sum of its proper divisors (138543078480).

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

54134038800 is a wasteful number, since it uses less digits than its factorization.

54134038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012438 (or 5012421 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 54134038800 in words is "fifty-four billion, one hundred thirty-four million, thirty-eight thousand, eight hundred".