11513779200 has 1188 divisors, whose sum is σ = 52664233440. Its totient is φ = 2351923200.

The previous prime is 11513779171. The next prime is 11513779237. The reversal of 11513779200 is 297731511.

It is a super-2 number, since 2×11513779200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 195148771 + ... + 195148829.

Almost surely, 2^11513779200 is an apocalyptic number.

11513779200 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 11513779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26332116720).

11513779200 is an abundant number, since it is smaller than the sum of its proper divisors (41150454240).

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

11513779200 is a wasteful number, since it uses less digits than its factorization.

11513779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 11513779200 in words is "eleven billion, five hundred thirteen million, seven hundred seventy-nine thousand, two hundred".