11296965120 has 640 divisors, whose sum is σ = 44801703936. Its totient is φ = 2369519616.

The previous prime is 11296965101. The next prime is 11296965133. The reversal of 11296965120 is 2156969211.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×11296965120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42954109 + ... + 42954371.

Almost surely, 2^11296965120 is an apocalyptic number.

11296965120 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 11296965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22400851968).

11296965120 is an abundant number, since it is smaller than the sum of its proper divisors (33504738816).

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

11296965120 is a wasteful number, since it uses less digits than its factorization.

11296965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 11296965120 in words is "eleven billion, two hundred ninety-six million, nine hundred sixty-five thousand, one hundred twenty".