54200881728 has 392 divisors, whose sum is σ = 187121669952. Its totient is φ = 15248673792.

The previous prime is 54200881723. The next prime is 54200881733. The reversal of 54200881728 is 82718800245.

It is a happy number.

54200881728 is a `hidden beast` number, since 542 + 0 + 0 + 8 + 81 + 7 + 28 = 666.

54200881728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54200881723) and next prime (54200881733).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54200881723) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 21880426 + ... + 21882902.

Almost surely, 2^54200881728 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 54200881728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93560834976).

54200881728 is an abundant number, since it is smaller than the sum of its proper divisors (132920788224).

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

54200881728 is an equidigital number, since it uses as much as digits as its factorization.

54200881728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 54200881728 in words is "fifty-four billion, two hundred million, eight hundred eighty-one thousand, seven hundred twenty-eight".