11257502100 has 288 divisors, whose sum is σ = 36143936640. Its totient is φ = 2688092160.

The previous prime is 11257502077. The next prime is 11257502149. The reversal of 11257502100 is 120575211.

It is a congruent number.

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, 22116646 + ... + 22117154.

It is an arithmetic number, because the mean of its divisors is an integer number (125499780).

Almost surely, 2^11257502100 is an apocalyptic number.

11257502100 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 11257502100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18071968320).

11257502100 is an abundant number, since it is smaller than the sum of its proper divisors (24886434540).

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

11257502100 is a wasteful number, since it uses less digits than its factorization.

11257502100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The spelling of 11257502100 in words is "eleven billion, two hundred fifty-seven million, five hundred two thousand, one hundred".