56564400847770 has 192 divisors, whose sum is σ = 162113511456000. Its totient is φ = 13620006005760.

The previous prime is 56564400847769. The next prime is 56564400847777. The reversal of 56564400847770 is 7774800446565.

56564400847770 is a `hidden beast` number, since 5 + 6 + 56 + 4 + 40 + 0 + 8 + 477 + 70 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56564400847698 and 56564400847707.

It is not an unprimeable number, because it can be changed into a prime (56564400847777) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8492656 + ... + 13610804.

It is an arithmetic number, because the mean of its divisors is an integer number (844341205500).

Almost surely, 2^{56564400847770} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56564400847770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81056755728000).

56564400847770 is an abundant number, since it is smaller than the sum of its proper divisors (105549110608230).

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

56564400847770 is a wasteful number, since it uses less digits than its factorization.

56564400847770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118485 (or 5118482 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 63.

The spelling of 56564400847770 in words is "fifty-six trillion, five hundred sixty-four billion, four hundred million, eight hundred forty-seven thousand, seven hundred seventy".