11634120960 has 864 divisors, whose sum is σ = 48280915200. Its totient is φ = 2384363520.

The previous prime is 11634120959. The next prime is 11634120961. The reversal of 11634120960 is 6902143611.

It is an interprime number because it is at equal distance from previous prime (11634120959) and next prime (11634120961).

It is a super-2 number, since 2×11634120960² (a number of 21 digits) contains 22 as substring.

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 (11634120961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159371484 + ... + 159371556.

Almost surely, 2^11634120960 is an apocalyptic number.

11634120960 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 11634120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24140457600).

11634120960 is an abundant number, since it is smaller than the sum of its proper divisors (36646794240).

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

11634120960 is an equidigital number, since it uses as much as digits as its factorization.

11634120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 11634120960 in words is "eleven billion, six hundred thirty-four million, one hundred twenty thousand, nine hundred sixty".