56711249280 has 1280 divisors, whose sum is σ = 254324188800. Its totient is φ = 11742216192.

The previous prime is 56711249269. The next prime is 56711249291. The reversal of 56711249280 is 8294211765.

56711249280 is a `hidden beast` number, since 5 + 6 + 71 + 12 + 492 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (56711249269) and next prime (56711249291).

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 159 ways as a sum of consecutive naturals, for example, 178899682 + ... + 178899998.

Almost surely, 2^56711249280 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 56711249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127162094400).

56711249280 is an abundant number, since it is smaller than the sum of its proper divisors (197612939520).

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

56711249280 is a wasteful number, since it uses less digits than its factorization.

56711249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 56711249280 in words is "fifty-six billion, seven hundred eleven million, two hundred forty-nine thousand, two hundred eighty".