56632575552 has 336 divisors, whose sum is σ = 179151003648. Its totient is φ = 15735444480.

The previous prime is 56632575529. The next prime is 56632575583. The reversal of 56632575552 is 25557523665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×56632575552² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56632575495 and 56632575504.

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, 93298833 + ... + 93299439.

Almost surely, 2^56632575552 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 56632575552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89575501824).

56632575552 is an abundant number, since it is smaller than the sum of its proper divisors (122518428096).

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

56632575552 is a wasteful number, since it uses less digits than its factorization.

56632575552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 877 counting only the distinct ones).

The product of its digits is 9450000, while the sum is 51.

The spelling of 56632575552 in words is "fifty-six billion, six hundred thirty-two million, five hundred seventy-five thousand, five hundred fifty-two".