11191850880 has 384 divisors, whose sum is σ = 41739403680. Its totient is φ = 2543321088.

The previous prime is 11191850869. The next prime is 11191850933. The reversal of 11191850880 is 8805819111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11191850880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31704784 + ... + 31705136.

Almost surely, 2^11191850880 is an apocalyptic number.

11191850880 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 11191850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20869701840).

11191850880 is an abundant number, since it is smaller than the sum of its proper divisors (30547552800).

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

11191850880 is a wasteful number, since it uses less digits than its factorization.

11191850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 42.

The spelling of 11191850880 in words is "eleven billion, one hundred ninety-one million, eight hundred fifty thousand, eight hundred eighty".