54042624657 has 80 divisors (see below), whose sum is σ = 97915910400. Its totient is φ = 28997885952.

The previous prime is 54042624641. The next prime is 54042624829. The reversal of 54042624657 is 75642624045.

54042624657 is a `hidden beast` number, since 540 + 4 + 2 + 62 + 46 + 5 + 7 = 666.

It is not a de Polignac number, because 54042624657 - 2⁴ = 54042624641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54042624157) 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 79 ways as a sum of consecutive naturals, for example, 4321668 + ... + 4334154.

It is an arithmetic number, because the mean of its divisors is an integer number (1223948880).

Almost surely, 2^54042624657 is an apocalyptic number.

It is an amenable number.

54042624657 is a deficient number, since it is larger than the sum of its proper divisors (43873285743).

54042624657 is a wasteful number, since it uses less digits than its factorization.

54042624657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12972 (or 12963 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 54042624657 in words is "fifty-four billion, forty-two million, six hundred twenty-four thousand, six hundred fifty-seven".