11315510500 has 96 divisors (see below), whose sum is σ = 28292479488. Its totient is φ = 3872880000.

The previous prime is 11315510497. The next prime is 11315510519. The reversal of 11315510500 is 501551311.

It is a super-3 number, since 3×11315510500³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2283025 + ... + 2287975.

It is an arithmetic number, because the mean of its divisors is an integer number (294713328).

Almost surely, 2^11315510500 is an apocalyptic number.

11315510500 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 11315510500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14146239744).

11315510500 is an abundant number, since it is smaller than the sum of its proper divisors (16976968988).

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

11315510500 is a wasteful number, since it uses less digits than its factorization.

11315510500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 22.

The spelling of 11315510500 in words is "eleven billion, three hundred fifteen million, five hundred ten thousand, five hundred".