56968050733440 has 1536 divisors, whose sum is σ = 232545116160000. Its totient is φ = 11608444108800.

The previous prime is 56968050733417. The next prime is 56968050733507. The reversal of 56968050733440 is 4433705086965.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44541086721 + ... + 44541087999.

It is an arithmetic number, because the mean of its divisors is an integer number (151396560000).

Almost surely, 2^{56968050733440} 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 56968050733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116272558080000).

56968050733440 is an abundant number, since it is smaller than the sum of its proper divisors (175577065426560).

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

56968050733440 is a wasteful number, since it uses less digits than its factorization.

56968050733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 56968050733440 in words is "fifty-six trillion, nine hundred sixty-eight billion, fifty million, seven hundred thirty-three thousand, four hundred forty".