56775728752560 has 240 divisors, whose sum is σ = 191198146464000. Its totient is φ = 15098436327936.

The previous prime is 56775728752493. The next prime is 56775728752573. The reversal of 56775728752560 is 6525782757765.

It is a happy number.

56775728752560 is a `hidden beast` number, since 5 + 6 + 7 + 7 + 5 + 7 + 2 + 8 + 7 + 52 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 650315791 + ... + 650403089.

It is an arithmetic number, because the mean of its divisors is an integer number (796658943600).

Almost surely, 2^{56775728752560} 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 56775728752560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95599073232000).

56775728752560 is an abundant number, since it is smaller than the sum of its proper divisors (134422417711440).

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

56775728752560 is a wasteful number, since it uses less digits than its factorization.

56775728752560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89800 (or 89791 counting only the distinct ones).

The product of its (nonzero) digits is 1728720000, while the sum is 72.

The spelling of 56775728752560 in words is "fifty-six trillion, seven hundred seventy-five billion, seven hundred twenty-eight million, seven hundred fifty-two thousand, five hundred sixty".