11613099960 has 576 divisors, whose sum is σ = 48468157920. Its totient is φ = 2384363520.

The previous prime is 11613099943. The next prime is 11613100001. The reversal of 11613099960 is 6999031611.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18821572 + ... + 18822188.

Almost surely, 2^11613099960 is an apocalyptic number.

11613099960 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 11613099960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24234078960).

11613099960 is an abundant number, since it is smaller than the sum of its proper divisors (36855057960).

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

11613099960 is a wasteful number, since it uses less digits than its factorization.

11613099960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

It can be divided in two parts, 1161 and 3099960, that added together give a square (3101121 = 1761²).

The spelling of 11613099960 in words is "eleven billion, six hundred thirteen million, ninety-nine thousand, nine hundred sixty".