54990439920 has 1600 divisors, whose sum is σ = 239564666880. Its totient is φ = 11537842176.

The previous prime is 54990439919. The next prime is 54990439951. The reversal of 54990439920 is 2993409945.

54990439920 is a `hidden beast` number, since 5 + 499 + 0 + 43 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1170009337 + ... + 1170009383.

Almost surely, 2^54990439920 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 54990439920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119782333440).

54990439920 is an abundant number, since it is smaller than the sum of its proper divisors (184574226960).

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

54990439920 is a wasteful number, since it uses less digits than its factorization.

54990439920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

It can be divided in two parts, 549904 and 39920, that added together give a square (589824 = 768²).

The spelling of 54990439920 in words is "fifty-four billion, nine hundred ninety million, four hundred thirty-nine thousand, nine hundred twenty".