11287892160 has 448 divisors, whose sum is σ = 42551055360. Its totient is φ = 2810142720.

The previous prime is 11287892149. The next prime is 11287892177. The reversal of 11287892160 is 6129878211.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8544300 + ... + 8545620.

Almost surely, 2^11287892160 is an apocalyptic number.

11287892160 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 11287892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21275527680).

11287892160 is an abundant number, since it is smaller than the sum of its proper divisors (31263163200).

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

11287892160 is a wasteful number, since it uses less digits than its factorization.

11287892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11287892160 in words is "eleven billion, two hundred eighty-seven million, eight hundred ninety-two thousand, one hundred sixty".