11285192880 has 960 divisors, whose sum is σ = 46797004800. Its totient is φ = 2408693760.

The previous prime is 11285192869. The next prime is 11285193083. The reversal of 11285192880 is 8829158211.

11285192880 is a `hidden beast` number, since 1 + 128 + 519 + 2 + 8 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126799876 + ... + 126799964.

It is an arithmetic number, because the mean of its divisors is an integer number (48746880).

Almost surely, 2^11285192880 is an apocalyptic number.

11285192880 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 11285192880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398502400).

11285192880 is an abundant number, since it is smaller than the sum of its proper divisors (35511811920).

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

11285192880 is a wasteful number, since it uses less digits than its factorization.

11285192880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 11285192880 in words is "eleven billion, two hundred eighty-five million, one hundred ninety-two thousand, eight hundred eighty".