56356381361280 has 1024 divisors, whose sum is σ = 241920948326400. Its totient is φ = 10776836505600.

The previous prime is 56356381361171. The next prime is 56356381361281. The reversal of 56356381361280 is 8216318365365.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 56356381361280.

It is not an unprimeable number, because it can be changed into a prime (56356381361281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 636111226 + ... + 636199814.

It is an arithmetic number, because the mean of its divisors is an integer number (236250926100).

Almost surely, 2^{56356381361280} 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 56356381361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960474163200).

56356381361280 is an abundant number, since it is smaller than the sum of its proper divisors (185564566965120).

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

56356381361280 is a wasteful number, since it uses less digits than its factorization.

56356381361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88973 (or 88961 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 56356381361280 in words is "fifty-six trillion, three hundred fifty-six billion, three hundred eighty-one million, three hundred sixty-one thousand, two hundred eighty".