54407533824 has 432 divisors, whose sum is σ = 188601678720. Its totient is φ = 14755184640.

The previous prime is 54407533801. The next prime is 54407533949. The reversal of 54407533824 is 42833570445.

54407533824 is a `hidden beast` number, since 54 + 40 + 7 + 533 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54407533824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28529479 + ... + 28531385.

It is an arithmetic number, because the mean of its divisors is an integer number (436577960).

Almost surely, 2^54407533824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54407533824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94300839360).

54407533824 is an abundant number, since it is smaller than the sum of its proper divisors (134194144896).

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

54407533824 is a wasteful number, since it uses less digits than its factorization.

54407533824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 54407533824 in words is "fifty-four billion, four hundred seven million, five hundred thirty-three thousand, eight hundred twenty-four".