11500610000 has 100 divisors (see below), whose sum is σ = 30375701664. Its totient is φ = 4182000000.

The previous prime is 11500609969. The next prime is 11500610053. The reversal of 11500610000 is 1600511.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57725 + ... + 162275.

Almost surely, 2^11500610000 is an apocalyptic number.

11500610000 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 11500610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15187850832).

11500610000 is an abundant number, since it is smaller than the sum of its proper divisors (18875091664).

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

11500610000 is a wasteful number, since it uses less digits than its factorization.

11500610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104590 (or 104569 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The spelling of 11500610000 in words is "eleven billion, five hundred million, six hundred ten thousand".