56240087904 has 1296 divisors, whose sum is σ = 233635343760. Its totient is φ = 12599193600.

The previous prime is 56240087879. The next prime is 56240087927. The reversal of 56240087904 is 40978004265.

It is a happy number.

56240087904 is a `hidden beast` number, since 562 + 4 + 0 + 0 + 87 + 9 + 0 + 4 = 666.

It is a super-3 number, since 3×56240087904³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 56240087904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1814196369 + ... + 1814196399.

It is an arithmetic number, because the mean of its divisors is an integer number (180274185).

Almost surely, 2^56240087904 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 56240087904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116817671880).

56240087904 is an abundant number, since it is smaller than the sum of its proper divisors (177395255856).

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

56240087904 is a wasteful number, since it uses less digits than its factorization.

56240087904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 56240087904 in words is "fifty-six billion, two hundred forty million, eighty-seven thousand, nine hundred four".