56023861213440 has 1152 divisors, whose sum is σ = 204402082590720. Its totient is φ = 14526791811072.

The previous prime is 56023861213381. The next prime is 56023861213499. The reversal of 56023861213440 is 4431216832065.

56023861213440 is a `hidden beast` number, since 5 + 6 + 0 + 2 + 3 + 86 + 121 + 3 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (56023861213381) and next prime (56023861213499).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63161060677 + ... + 63161061563.

It is an arithmetic number, because the mean of its divisors is an integer number (177432363360).

Almost surely, 2^{56023861213440} 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 56023861213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102201041295360).

56023861213440 is an abundant number, since it is smaller than the sum of its proper divisors (148378221377280).

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

56023861213440 is a wasteful number, since it uses less digits than its factorization.

56023861213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 56023861213440 in words is "fifty-six trillion, twenty-three billion, eight hundred sixty-one million, two hundred thirteen thousand, four hundred forty".