54577152040 has 64 divisors (see below), whose sum is σ = 127070758800. Its totient is φ = 21071812608.

The previous prime is 54577151933. The next prime is 54577152041. The reversal of 54577152040 is 4025177545.

It can be written as a sum of positive squares in 8 ways, for example, as 29247156324 + 25329995716 = 171018^2 + 159154^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 54577151984 and 54577152002.

It is not an unprimeable number, because it can be changed into a prime (54577152041) 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, 6557962 + ... + 6566278.

Almost surely, 2^54577152040 is an apocalyptic number.

It is an amenable number.

54577152040 is an abundant number, since it is smaller than the sum of its proper divisors (72493606760).

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

54577152040 is a wasteful number, since it uses less digits than its factorization.

54577152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14014 (or 14010 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 40.

The spelling of 54577152040 in words is "fifty-four billion, five hundred seventy-seven million, one hundred fifty-two thousand, forty".