54589645440 has 320 divisors, whose sum is σ = 212674381920. Its totient is φ = 13233715200.

The previous prime is 54589645423. The next prime is 54589645457. The reversal of 54589645440 is 4454698545.

It is a happy number.

54589645440 is a `hidden beast` number, since 5 + 4 + 5 + 8 + 96 + 4 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54589645423) and next prime (54589645457).

It is a tau number, because it is divible by the number of its divisors (320).

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

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 39 ways as a sum of consecutive naturals, for example, 522375 + ... + 618105.

Almost surely, 2^54589645440 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 54589645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106337190960).

54589645440 is an abundant number, since it is smaller than the sum of its proper divisors (158084736480).

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

54589645440 is a wasteful number, since it uses less digits than its factorization.

54589645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95773 (or 95752 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 54589645440 in words is "fifty-four billion, five hundred eighty-nine million, six hundred forty-five thousand, four hundred forty".