54200322792 has 576 divisors, whose sum is σ = 200923632000. Its totient is φ = 12869176320.

The previous prime is 54200322713. The next prime is 54200322817. The reversal of 54200322792 is 29722300245.

54200322792 is a `hidden beast` number, since 5 + 420 + 0 + 3 + 227 + 9 + 2 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33601378 + ... + 33602990.

It is an arithmetic number, because the mean of its divisors is an integer number (348825750).

Almost surely, 2^54200322792 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 54200322792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100461816000).

54200322792 is an abundant number, since it is smaller than the sum of its proper divisors (146723309208).

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

54200322792 is a wasteful number, since it uses less digits than its factorization.

54200322792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 54200322792 in words is "fifty-four billion, two hundred million, three hundred twenty-two thousand, seven hundred ninety-two".