10002575520 has 576 divisors, whose sum is σ = 41287760640. Its totient is φ = 2214770688.

The previous prime is 10002575503. The next prime is 10002575533. The reversal of 10002575520 is 2557520001.

It is a happy number.

10002575520 is a `hidden beast` number, since 100 + 0 + 2 + 5 + 7 + 552 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126614841 + ... + 126614919.

It is an arithmetic number, because the mean of its divisors is an integer number (71680140).

Almost surely, 2^10002575520 is an apocalyptic number.

10002575520 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 10002575520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20643880320).

10002575520 is an abundant number, since it is smaller than the sum of its proper divisors (31285185120).

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

10002575520 is an equidigital number, since it uses as much as digits as its factorization.

10002575520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The spelling of 10002575520 in words is "ten billion, two million, five hundred seventy-five thousand, five hundred twenty".