11290186512 has 320 divisors, whose sum is σ = 36629203200. Its totient is φ = 3299512320.

The previous prime is 11290186493. The next prime is 11290186541. The reversal of 11290186512 is 21568109211.

11290186512 is a `hidden beast` number, since 1 + 129 + 0 + 18 + 6 + 512 = 666.

It is a super-2 number, since 2×11290186512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 27604164 + ... + 27604572.

It is an arithmetic number, because the mean of its divisors is an integer number (114466260).

Almost surely, 2^11290186512 is an apocalyptic number.

11290186512 is a gapful number since it is divisible by the number (12) 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 11290186512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18314601600).

11290186512 is an abundant number, since it is smaller than the sum of its proper divisors (25339016688).

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

11290186512 is a wasteful number, since it uses less digits than its factorization.

11290186512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 11290186512 in words is "eleven billion, two hundred ninety million, one hundred eighty-six thousand, five hundred twelve".