10632437551560 has 512 divisors, whose sum is σ = 36954537984000. Its totient is φ = 2422739558400.

The previous prime is 10632437551517. The next prime is 10632437551573. The reversal of 10632437551560 is 6515573423601.

It is a happy number.

10632437551560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10632437551560² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 751773849 + ... + 751787991.

It is an arithmetic number, because the mean of its divisors is an integer number (72176832000).

Almost surely, 2^{10632437551560} is an apocalyptic number.

10632437551560 is a gapful number since it is divisible by the number (10) 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 10632437551560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18477268992000).

10632437551560 is an abundant number, since it is smaller than the sum of its proper divisors (26322100432440).

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

10632437551560 is a wasteful number, since it uses less digits than its factorization.

10632437551560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14717 (or 14713 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 10632437551560 in words is "ten trillion, six hundred thirty-two billion, four hundred thirty-seven million, five hundred fifty-one thousand, five hundred sixty".