11349000960 has 576 divisors, whose sum is σ = 42384384000. Its totient is φ = 2559098880.

The previous prime is 11349000959. The next prime is 11349000961. The reversal of 11349000960 is 6900094311.

It is an interprime number because it is at equal distance from previous prime (11349000959) and next prime (11349000961).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11349000961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63402151 + ... + 63402329.

It is an arithmetic number, because the mean of its divisors is an integer number (73584000).

Almost surely, 2^11349000960 is an apocalyptic number.

11349000960 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 11349000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21192192000).

11349000960 is an abundant number, since it is smaller than the sum of its proper divisors (31035383040).

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

11349000960 is a wasteful number, since it uses less digits than its factorization.

11349000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The spelling of 11349000960 in words is "eleven billion, three hundred forty-nine million, nine hundred sixty", and thus it is an aban number.