56391767040 has 704 divisors, whose sum is σ = 213930823680. Its totient is φ = 12413829120.

The previous prime is 56391767009. The next prime is 56391767053. The reversal of 56391767040 is 4076719365.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 633615316 + ... + 633615404.

Almost surely, 2^56391767040 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 56391767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106965411840).

56391767040 is an abundant number, since it is smaller than the sum of its proper divisors (157539056640).

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

56391767040 is a wasteful number, since it uses less digits than its factorization.

56391767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 56391767040 in words is "fifty-six billion, three hundred ninety-one million, seven hundred sixty-seven thousand, forty".