54530884800 has 1260 divisors, whose sum is σ = 241557438144. Its totient is φ = 12018585600.

The previous prime is 54530884757. The next prime is 54530884847. The reversal of 54530884800 is 848803545.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 196862262 + ... + 196862538.

Almost surely, 2^54530884800 is an apocalyptic number.

54530884800 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 54530884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120778719072).

54530884800 is an abundant number, since it is smaller than the sum of its proper divisors (187026553344).

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

54530884800 is a wasteful number, since it uses less digits than its factorization.

54530884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 54530884800 in words is "fifty-four billion, five hundred thirty million, eight hundred eighty-four thousand, eight hundred".