10588480056 has 896 divisors, whose sum is σ = 41929228800. Its totient is φ = 2418647040.

The previous prime is 10588480033. The next prime is 10588480099. The reversal of 10588480056 is 65008488501.

10588480056 is a `hidden beast` number, since 10 + 588 + 4 + 8 + 0 + 0 + 56 = 666.

It is a super-2 number, since 2×10588480056² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10588479993 and 10588480020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 145047636 + ... + 145047708.

Almost surely, 2^10588480056 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 10588480056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20964614400).

10588480056 is an abundant number, since it is smaller than the sum of its proper divisors (31340748744).

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

10588480056 is a wasteful number, since it uses less digits than its factorization.

10588480056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 10588480056 in words is "ten billion, five hundred eighty-eight million, four hundred eighty thousand, fifty-six".