56313786401280 has 560 divisors, whose sum is σ = 208969552306944. Its totient is φ = 14532575109120.

The previous prime is 56313786401263. The next prime is 56313786401281. The reversal of 56313786401280 is 8210468731365.

56313786401280 is a `hidden beast` number, since 5 + 6 + 3 + 137 + 86 + 401 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56313786401281) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 57366747 + ... + 58340133.

Almost surely, 2^{56313786401280} 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 56313786401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104484776153472).

56313786401280 is an abundant number, since it is smaller than the sum of its proper divisors (152655765905664).

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

56313786401280 is an frugal number, since it uses more digits than its factorization.

56313786401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973459 (or 973428 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 56313786401280 in words is "fifty-six trillion, three hundred thirteen billion, seven hundred eighty-six million, four hundred one thousand, two hundred eighty".