54605652768 has 96 divisors (see below), whose sum is σ = 166191177600. Its totient is φ = 17410491648.

The previous prime is 54605652763. The next prime is 54605652809. The reversal of 54605652768 is 86725650645.

54605652768 is a `hidden beast` number, since 5 + 4 + 6 + 0 + 56 + 527 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (54605652763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354063 + ... + 1393806.

It is an arithmetic number, because the mean of its divisors is an integer number (1731158100).

Almost surely, 2^54605652768 is an apocalyptic number.

It is an amenable number.

54605652768 is an abundant number, since it is smaller than the sum of its proper divisors (111585524832).

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

54605652768 is a wasteful number, since it uses less digits than its factorization.

54605652768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747911 (or 2747897 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 54605652768 in words is "fifty-four billion, six hundred five million, six hundred fifty-two thousand, seven hundred sixty-eight".