10002521088 has 176 divisors, whose sum is σ = 33855087360. Its totient is φ = 2857807872.

The previous prime is 10002521077. The next prime is 10002521119. The reversal of 10002521088 is 88012520001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167695 + ... + 219377.

Almost surely, 2^10002521088 is an apocalyptic number.

10002521088 is a gapful number since it is divisible by the number (18) 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 10002521088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16927543680).

10002521088 is an abundant number, since it is smaller than the sum of its proper divisors (23852566272).

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

10002521088 is an equidigital number, since it uses as much as digits as its factorization.

10002521088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51719 (or 51695 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 10002521088 in words is "ten billion, two million, five hundred twenty-one thousand, eighty-eight".