11135968830 has 384 divisors, whose sum is σ = 37172390400. Its totient is φ = 2356687872.

The previous prime is 11135968819. The next prime is 11135968853. The reversal of 11135968830 is 3886953111.

It is a happy number.

11135968830 is a `hidden beast` number, since 11 + 13 + 596 + 8 + 8 + 30 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15068601 + ... + 15069339.

It is an arithmetic number, because the mean of its divisors is an integer number (96803100).

Almost surely, 2^11135968830 is an apocalyptic number.

11135968830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11135968830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18586195200).

11135968830 is an abundant number, since it is smaller than the sum of its proper divisors (26036421570).

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

11135968830 is a wasteful number, since it uses less digits than its factorization.

11135968830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11135968830 in words is "eleven billion, one hundred thirty-five million, nine hundred sixty-eight thousand, eight hundred thirty".