56701530325440 has 6048 divisors, whose sum is σ = 289429387591680. Its totient is φ = 10222277345280.

The previous prime is 56701530325411. The next prime is 56701530325463. The reversal of 56701530325440 is 4452303510765.

56701530325440 is a `hidden beast` number, since 5 + 6 + 70 + 1 + 5 + 3 + 0 + 32 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×56701530325440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 446468742657 + ... + 446468742783.

It is an arithmetic number, because the mean of its divisors is an integer number (47855388160).

Almost surely, 2^{56701530325440} 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 56701530325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144714693795840).

56701530325440 is an abundant number, since it is smaller than the sum of its proper divisors (232727857266240).

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

56701530325440 is a wasteful number, since it uses less digits than its factorization.

56701530325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 56701530325440 in words is "fifty-six trillion, seven hundred one billion, five hundred thirty million, three hundred twenty-five thousand, four hundred forty".