54124571952 has 240 divisors, whose sum is σ = 172796856960. Its totient is φ = 16399817280.

The previous prime is 54124571927. The next prime is 54124571971. The reversal of 54124571952 is 25917542145.

54124571952 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 457 + 195 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54124571898 and 54124571907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5169699 + ... + 5180157.

It is an arithmetic number, because the mean of its divisors is an integer number (719986904).

Almost surely, 2^54124571952 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 54124571952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86398428480).

54124571952 is an abundant number, since it is smaller than the sum of its proper divisors (118672285008).

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

54124571952 is a wasteful number, since it uses less digits than its factorization.

54124571952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10515 (or 10475 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 54124571952 in words is "fifty-four billion, one hundred twenty-four million, five hundred seventy-one thousand, nine hundred fifty-two".