11268956160 has 672 divisors, whose sum is σ = 48825009792. Its totient is φ = 2335703040.

The previous prime is 11268956137. The next prime is 11268956161. The reversal of 11268956160 is 6165986211.

11268956160 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 89 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11268956161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28385082 + ... + 28385478.

Almost surely, 2^11268956160 is an apocalyptic number.

11268956160 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 11268956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24412504896).

11268956160 is an abundant number, since it is smaller than the sum of its proper divisors (37556053632).

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

11268956160 is a wasteful number, since it uses less digits than its factorization.

11268956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 425 counting only the distinct ones).

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

The spelling of 11268956160 in words is "eleven billion, two hundred sixty-eight million, nine hundred fifty-six thousand, one hundred sixty".