56752323747840 has 2688 divisors, whose sum is σ = 243450331488000. Its totient is φ = 11954269716480.

The previous prime is 56752323747827. The next prime is 56752323747857. The reversal of 56752323747840 is 4874732325765.

56752323747840 is a `hidden beast` number, since 5 + 6 + 7 + 523 + 2 + 37 + 4 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162614107986 + ... + 162614108334.

It is an arithmetic number, because the mean of its divisors is an integer number (90569319750).

Almost surely, 2^{56752323747840} 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 56752323747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121725165744000).

56752323747840 is an abundant number, since it is smaller than the sum of its proper divisors (186698007740160).

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

56752323747840 is a wasteful number, since it uses less digits than its factorization.

56752323747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 63.

The spelling of 56752323747840 in words is "fifty-six trillion, seven hundred fifty-two billion, three hundred twenty-three million, seven hundred forty-seven thousand, eight hundred forty".