11190085632 has 192 divisors, whose sum is σ = 36163108800. Its totient is φ = 3390750720.

The previous prime is 11190085561. The next prime is 11190085633. The reversal of 11190085632 is 23658009111.

11190085632 is a `hidden beast` number, since 1 + 1 + 1 + 90 + 0 + 8 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (11190085633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599058 + ... + 617454.

It is an arithmetic number, because the mean of its divisors is an integer number (188349525).

Almost surely, 2^11190085632 is an apocalyptic number.

11190085632 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 11190085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18081554400).

11190085632 is an abundant number, since it is smaller than the sum of its proper divisors (24973023168).

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

11190085632 is a wasteful number, since it uses less digits than its factorization.

11190085632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18439 (or 18413 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11190085632 in words is "eleven billion, one hundred ninety million, eighty-five thousand, six hundred thirty-two".