10632526560 has 120 divisors (see below), whose sum is σ = 37524004056. Its totient is φ = 2835336960.

The previous prime is 10632526517. The next prime is 10632526573. The reversal of 10632526560 is 6562523601.

It is a happy number.

10632526560 is a `hidden beast` number, since 10 + 6 + 32 + 52 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10632526560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 397246 + ... + 423165.

Almost surely, 2^10632526560 is an apocalyptic number.

10632526560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10632526560 is an abundant number, since it is smaller than the sum of its proper divisors (26891477496).

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

10632526560 is an equidigital number, since it uses as much as digits as its factorization.

10632526560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820438 (or 820421 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10632526560 in words is "ten billion, six hundred thirty-two million, five hundred twenty-six thousand, five hundred sixty".