56290895386560 has 560 divisors, whose sum is σ = 200984105893824. Its totient is φ = 14954966433792.

The previous prime is 56290895386559. The next prime is 56290895386591. The reversal of 56290895386560 is 6568359809265.

56290895386560 is a `hidden beast` number, since 5 + 6 + 2 + 9 + 0 + 8 + 9 + 53 + 8 + 6 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9950659252 + ... + 9950664908.

Almost surely, 2^{56290895386560} 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 56290895386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100492052946912).

56290895386560 is an abundant number, since it is smaller than the sum of its proper divisors (144693210507264).

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

56290895386560 is a wasteful number, since it uses less digits than its factorization.

56290895386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 72.

The spelling of 56290895386560 in words is "fifty-six trillion, two hundred ninety billion, eight hundred ninety-five million, three hundred eighty-six thousand, five hundred sixty".