10632623500 has 96 divisors (see below), whose sum is σ = 23561725824. Its totient is φ = 4191200000.

The previous prime is 10632623479. The next prime is 10632623501. The reversal of 10632623500 is 532623601.

10632623500 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 2×10632623500² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10632623501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15705162 + ... + 15705838.

It is an arithmetic number, because the mean of its divisors is an integer number (245434644).

Almost surely, 2^10632623500 is an apocalyptic number.

10632623500 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 10632623500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780862912).

10632623500 is an abundant number, since it is smaller than the sum of its proper divisors (12929102324).

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

10632623500 is a wasteful number, since it uses less digits than its factorization.

10632623500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 10632623500 in words is "ten billion, six hundred thirty-two million, six hundred twenty-three thousand, five hundred".