10087572528 has 180 divisors, whose sum is σ = 31497773944. Its totient is φ = 3010867200.

The previous prime is 10087572503. The next prime is 10087572529. The reversal of 10087572528 is 82527578001.

It is not an unprimeable number, because it can be changed into a prime (10087572529) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1163088 + ... + 1171728.

Almost surely, 2^10087572528 is an apocalyptic number.

10087572528 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 10087572528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748886972).

10087572528 is an abundant number, since it is smaller than the sum of its proper divisors (21410201416).

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

10087572528 is a wasteful number, since it uses less digits than its factorization.

10087572528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8744 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 10087572528 in words is "ten billion, eighty-seven million, five hundred seventy-two thousand, five hundred twenty-eight".