10412902500 has 960 divisors, whose sum is σ = 43498076160. Its totient is φ = 1866240000.

The previous prime is 10412902477. The next prime is 10412902537. The reversal of 10412902500 is 520921401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 142642464 + ... + 142642536.

It is an arithmetic number, because the mean of its divisors is an integer number (45310496).

Almost surely, 2^10412902500 is an apocalyptic number.

10412902500 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 10412902500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21749038080).

10412902500 is an abundant number, since it is smaller than the sum of its proper divisors (33085173660).

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

10412902500 is a wasteful number, since it uses less digits than its factorization.

10412902500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 10412902500 in words is "ten billion, four hundred twelve million, nine hundred two thousand, five hundred".