11295884160 has 896 divisors, whose sum is σ = 46235473920. Its totient is φ = 2612736000.

The previous prime is 11295884153. The next prime is 11295884203. The reversal of 11295884160 is 6148859211.

It is a happy number.

11295884160 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 588 + 4 + 1 + 60 = 666.

It is a super-2 number, since 2×11295884160² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 159096925 + ... + 159096995.

Almost surely, 2^11295884160 is an apocalyptic number.

11295884160 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 11295884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23117736960).

11295884160 is an abundant number, since it is smaller than the sum of its proper divisors (34939589760).

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

11295884160 is an equidigital number, since it uses as much as digits as its factorization.

11295884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11295884160 in words is "eleven billion, two hundred ninety-five million, eight hundred eighty-four thousand, one hundred sixty".