56701169280 has 576 divisors, whose sum is σ = 230736729600. Its totient is φ = 12791181312.

The previous prime is 56701169263. The next prime is 56701169293. The reversal of 56701169280 is 8296110765.

56701169280 is a `hidden beast` number, since 567 + 0 + 1 + 1 + 6 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 71 ways as a sum of consecutive naturals, for example, 22295689 + ... + 22298231.

It is an arithmetic number, because the mean of its divisors is an integer number (400584600).

Almost surely, 2^56701169280 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 56701169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115368364800).

56701169280 is an abundant number, since it is smaller than the sum of its proper divisors (174035560320).

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

56701169280 is a wasteful number, since it uses less digits than its factorization.

56701169280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 56701169280 in words is "fifty-six billion, seven hundred one million, one hundred sixty-nine thousand, two hundred eighty".