10132510080 has 384 divisors, whose sum is σ = 40990095360. Its totient is φ = 2105241600.

The previous prime is 10132510079. The next prime is 10132510093. The reversal of 10132510080 is 8001523101.

10132510080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1029985 + ... + 1039775.

It is an arithmetic number, because the mean of its divisors is an integer number (106745040).

Almost surely, 2^10132510080 is an apocalyptic number.

10132510080 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 10132510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20495047680).

10132510080 is an abundant number, since it is smaller than the sum of its proper divisors (30857585280).

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

10132510080 is a wasteful number, since it uses less digits than its factorization.

10132510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9838 (or 9819 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The spelling of 10132510080 in words is "ten billion, one hundred thirty-two million, five hundred ten thousand, eighty".