11190674880 has 1176 divisors, whose sum is σ = 51271230960. Its totient is φ = 2299207680.

The previous prime is 11190674857. The next prime is 11190674897. The reversal of 11190674880 is 8847609111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 125737876 + ... + 125737964.

Almost surely, 2^11190674880 is an apocalyptic number.

11190674880 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 11190674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25635615480).

11190674880 is an abundant number, since it is smaller than the sum of its proper divisors (40080556080).

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

11190674880 is an equidigital number, since it uses as much as digits as its factorization.

11190674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

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

The spelling of 11190674880 in words is "eleven billion, one hundred ninety million, six hundred seventy-four thousand, eight hundred eighty".