54157565952 has 672 divisors, whose sum is σ = 197225107200. Its totient is φ = 14603452416.

The previous prime is 54157565947. The next prime is 54157565981. The reversal of 54157565952 is 25956575145.

54157565952 is a `hidden beast` number, since 5 + 4 + 1 + 575 + 65 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205922173 + ... + 205922435.

Almost surely, 2^54157565952 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 54157565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98612553600).

54157565952 is an abundant number, since it is smaller than the sum of its proper divisors (143067541248).

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

54157565952 is a wasteful number, since it uses less digits than its factorization.

54157565952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 294 counting only the distinct ones).

The product of its digits is 9450000, while the sum is 54.

The spelling of 54157565952 in words is "fifty-four billion, one hundred fifty-seven million, five hundred sixty-five thousand, nine hundred fifty-two".