54675568640 has 384 divisors, whose sum is σ = 173224396800. Its totient is φ = 16035348480.

The previous prime is 54675568639. The next prime is 54675568687. The reversal of 54675568640 is 4686557645.

It is a super-2 number, since 2×54675568640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 13402121 + ... + 13406199.

It is an arithmetic number, because the mean of its divisors is an integer number (451105200).

Almost surely, 2^54675568640 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 54675568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86612198400).

54675568640 is an abundant number, since it is smaller than the sum of its proper divisors (118548828160).

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

54675568640 is a wasteful number, since it uses less digits than its factorization.

54675568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 56.

The spelling of 54675568640 in words is "fifty-four billion, six hundred seventy-five million, five hundred sixty-eight thousand, six hundred forty".