56845256509440 has 1920 divisors, whose sum is σ = 248804767411200. Its totient is φ = 12124050554880.

The previous prime is 56845256509397. The next prime is 56845256509493. The reversal of 56845256509440 is 4490565254865.

56845256509440 is a `hidden beast` number, since 5 + 6 + 8 + 4 + 525 + 65 + 0 + 9 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×56845256509440³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7391135995 + ... + 7391143685.

It is an arithmetic number, because the mean of its divisors is an integer number (129585816360).

Almost surely, 2^{56845256509440} 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 56845256509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124402383705600).

56845256509440 is an abundant number, since it is smaller than the sum of its proper divisors (191959510901760).

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

56845256509440 is a wasteful number, since it uses less digits than its factorization.

56845256509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7823 (or 7794 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 56845256509440 in words is "fifty-six trillion, eight hundred forty-five billion, two hundred fifty-six million, five hundred nine thousand, four hundred forty".