54907377525 has 864 divisors, whose sum is σ = 149004748800. Its totient is φ = 19530201600.

The previous prime is 54907377457. The next prime is 54907377533. The reversal of 54907377525 is 52577370945.

54907377525 is a `hidden beast` number, since 5 + 49 + 0 + 7 + 3 + 77 + 525 = 666.

It is not a de Polignac number, because 54907377525 - 2⁹ = 54907377013 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1168242052 + ... + 1168242098.

It is an arithmetic number, because the mean of its divisors is an integer number (172459200).

Almost surely, 2^54907377525 is an apocalyptic number.

54907377525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54907377525 is an abundant number, since it is smaller than the sum of its proper divisors (94097371275).

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

54907377525 is a wasteful number, since it uses less digits than its factorization.

54907377525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 9261000, while the sum is 54.

The spelling of 54907377525 in words is "fifty-four billion, nine hundred seven million, three hundred seventy-seven thousand, five hundred twenty-five".