56313887040 has 448 divisors, whose sum is σ = 208297393920. Its totient is φ = 14306181120.

The previous prime is 56313887011. The next prime is 56313887051. The reversal of 56313887040 is 4078831365.

56313887040 is a `hidden beast` number, since 5 + 631 + 3 + 8 + 8 + 7 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15230472 + ... + 15234168.

It is an arithmetic number, because the mean of its divisors is an integer number (464949540).

Almost surely, 2^56313887040 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 56313887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104148696960).

56313887040 is an abundant number, since it is smaller than the sum of its proper divisors (151983506880).

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

56313887040 is a wasteful number, since it uses less digits than its factorization.

56313887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3791 counting only the distinct ones).

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

The spelling of 56313887040 in words is "fifty-six billion, three hundred thirteen million, eight hundred eighty-seven thousand, forty".