56573564497632 has 2880 divisors, whose sum is σ = 221461437689856. Its totient is φ = 14103130890240.

The previous prime is 56573564497621. The next prime is 56573564497633. The reversal of 56573564497632 is 23679446537565.

56573564497632 is a `hidden beast` number, since 5 + 6 + 5 + 73 + 5 + 6 + 4 + 497 + 63 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56573564497633) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 549257907693 + ... + 549257907795.

Almost surely, 2^{56573564497632} is an apocalyptic number.

56573564497632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56573564497632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110730718844928).

56573564497632 is an abundant number, since it is smaller than the sum of its proper divisors (164887873192224).

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

56573564497632 is a wasteful number, since it uses less digits than its factorization.

56573564497632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 232 counting only the distinct ones).

The product of its digits is 3429216000, while the sum is 72.

The spelling of 56573564497632 in words is "fifty-six trillion, five hundred seventy-three billion, five hundred sixty-four million, four hundred ninety-seven thousand, six hundred thirty-two".