10132869024 has 144 divisors (see below), whose sum is σ = 30905128800. Its totient is φ = 3139388928.

The previous prime is 10132869001. The next prime is 10132869059. The reversal of 10132869024 is 42096823101.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10132869024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272547 + ... + 307485.

It is an arithmetic number, because the mean of its divisors is an integer number (214618950).

Almost surely, 2^10132869024 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 10132869024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452564400).

10132869024 is an abundant number, since it is smaller than the sum of its proper divisors (20772259776).

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

10132869024 is a wasteful number, since it uses less digits than its factorization.

10132869024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35027 (or 35016 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10132869024 in words is "ten billion, one hundred thirty-two million, eight hundred sixty-nine thousand, twenty-four".