53973392256 has 320 divisors, whose sum is σ = 187487815680. Its totient is φ = 15091909632.

The previous prime is 53973392243. The next prime is 53973392261. The reversal of 53973392256 is 65229337935.

53973392256 is a `hidden beast` number, since 53 + 9 + 7 + 339 + 2 + 256 = 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 39 ways as a sum of consecutive naturals, for example, 3403161 + ... + 3418983.

It is an arithmetic number, because the mean of its divisors is an integer number (585899424).

Almost surely, 2^53973392256 is an apocalyptic number.

53973392256 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 53973392256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93743907840).

53973392256 is an abundant number, since it is smaller than the sum of its proper divisors (133514423424).

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

53973392256 is a wasteful number, since it uses less digits than its factorization.

53973392256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15903 (or 15882 counting only the distinct ones).

The product of its digits is 9185400, while the sum is 54.

The spelling of 53973392256 in words is "fifty-three billion, nine hundred seventy-three million, three hundred ninety-two thousand, two hundred fifty-six".