56353731256816 has 640 divisors, whose sum is σ = 140601060956160. Its totient is φ = 21329215488000.

The previous prime is 56353731256813. The next prime is 56353731256859. The reversal of 56353731256816 is 61865213735365.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56353731256813) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97666778320 + ... + 97666778896.

It is an arithmetic number, because the mean of its divisors is an integer number (219689157744).

Almost surely, 2^{56353731256816} is an apocalyptic number.

56353731256816 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 56353731256816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70300530478080).

56353731256816 is an abundant number, since it is smaller than the sum of its proper divisors (84247329699344).

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

56353731256816 is a wasteful number, since it uses less digits than its factorization.

56353731256816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1027 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 61.

The spelling of 56353731256816 in words is "fifty-six trillion, three hundred fifty-three billion, seven hundred thirty-one million, two hundred fifty-six thousand, eight hundred sixteen".