11291132160 has 576 divisors, whose sum is σ = 49966479360. Its totient is φ = 2345656320.

The previous prime is 11291132159. The next prime is 11291132173. The reversal of 11291132160 is 6123119211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2658999 + ... + 2663241.

It is an arithmetic number, because the mean of its divisors is an integer number (86747360).

Almost surely, 2^11291132160 is an apocalyptic number.

11291132160 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 11291132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24983239680).

11291132160 is an abundant number, since it is smaller than the sum of its proper divisors (38675347200).

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

11291132160 is a wasteful number, since it uses less digits than its factorization.

11291132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 11291132160 in words is "eleven billion, two hundred ninety-one million, one hundred thirty-two thousand, one hundred sixty".