54390498624 has 672 divisors, whose sum is σ = 211818931200. Its totient is φ = 13507845120.

The previous prime is 54390498587. The next prime is 54390498641. The reversal of 54390498624 is 42689409345.

54390498624 is a `hidden beast` number, since 5 + 4 + 3 + 9 + 0 + 4 + 9 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 21420747 + ... + 21423285.

Almost surely, 2^54390498624 is an apocalyptic number.

54390498624 is a gapful number since it is divisible by the number (54) 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 54390498624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105909465600).

54390498624 is an abundant number, since it is smaller than the sum of its proper divisors (157428432576).

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

54390498624 is a wasteful number, since it uses less digits than its factorization.

54390498624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 54390498624 in words is "fifty-four billion, three hundred ninety million, four hundred ninety-eight thousand, six hundred twenty-four".