56588938741440 has 336 divisors, whose sum is σ = 222649096138560. Its totient is φ = 12922946150400.

The previous prime is 56588938741427. The next prime is 56588938741453. The reversal of 56588938741440 is 4414783988565.

56588938741440 is a `hidden beast` number, since 5 + 6 + 5 + 8 + 8 + 93 + 87 + 414 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (56588938741427) and next prime (56588938741453).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×56588938741440³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21091890 + ... + 23622990.

It is an arithmetic number, because the mean of its divisors is an integer number (662646119460).

Almost surely, 2^{56588938741440} 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 56588938741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111324548069280).

56588938741440 is an abundant number, since it is smaller than the sum of its proper divisors (166060157397120).

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

56588938741440 is a wasteful number, since it uses less digits than its factorization.

56588938741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532240 (or 2532227 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 56588938741440 in words is "fifty-six trillion, five hundred eighty-eight billion, nine hundred thirty-eight million, seven hundred forty-one thousand, four hundred forty".