10002520000 has 280 divisors, whose sum is σ = 27423221760. Its totient is φ = 3588480000.

The previous prime is 10002519977. The next prime is 10002520001. The reversal of 10002520000 is 2520001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002520001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55879911 + ... + 55880089.

Almost surely, 2^10002520000 is an apocalyptic number.

10002520000 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 10002520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13711610880).

10002520000 is an abundant number, since it is smaller than the sum of its proper divisors (17420701760).

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

10002520000 is a wasteful number, since it uses less digits than its factorization.

10002520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Subtracting from 10002520000 its reverse (2520001), we obtain a palindrome (9999999999).

The spelling of 10002520000 in words is "ten billion, two million, five hundred twenty thousand".