54402052800 has 336 divisors, whose sum is σ = 182745839232. Its totient is φ = 14164992000.

The previous prime is 54402052781. The next prime is 54402052811. The reversal of 54402052800 is 825020445.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37492075 + ... + 37493525.

Almost surely, 2^54402052800 is an apocalyptic number.

54402052800 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 54402052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91372919616).

54402052800 is an abundant number, since it is smaller than the sum of its proper divisors (128343786432).

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

54402052800 is a wasteful number, since it uses less digits than its factorization.

54402052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 54402052800 in words is "fifty-four billion, four hundred two million, fifty-two thousand, eight hundred".