56302256536320 has 288 divisors, whose sum is σ = 180595591468992. Its totient is φ = 14948914692096.

The previous prime is 56302256536319. The next prime is 56302256536387. The reversal of 56302256536320 is 2363565220365.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56302256536320.

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, 912234102 + ... + 912295818.

It is an arithmetic number, because the mean of its divisors is an integer number (627068025934).

Almost surely, 2^{56302256536320} 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 56302256536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90297795734496).

56302256536320 is an abundant number, since it is smaller than the sum of its proper divisors (124293334932672).

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

56302256536320 is a wasteful number, since it uses less digits than its factorization.

56302256536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62767 (or 62753 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 48.

The spelling of 56302256536320 in words is "fifty-six trillion, three hundred two billion, two hundred fifty-six million, five hundred thirty-six thousand, three hundred twenty".