53976144096 has 192 divisors, whose sum is σ = 181514995200. Its totient is φ = 15285086208.

The previous prime is 53976144067. The next prime is 53976144107. The reversal of 53976144096 is 69044167935.

53976144096 is a `hidden beast` number, since 53 + 9 + 7 + 61 + 440 + 96 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643935 + ... + 722913.

It is an arithmetic number, because the mean of its divisors is an integer number (945390600).

Almost surely, 2^53976144096 is an apocalyptic number.

53976144096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53976144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90757497600).

53976144096 is an abundant number, since it is smaller than the sum of its proper divisors (127538851104).

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

53976144096 is a wasteful number, since it uses less digits than its factorization.

53976144096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79118 (or 79104 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 53976144096 in words is "fifty-three billion, nine hundred seventy-six million, one hundred forty-four thousand, ninety-six".