11275579392 has 416 divisors, whose sum is σ = 39744566784. Its totient is φ = 2752512000.

The previous prime is 11275579379. The next prime is 11275579459. The reversal of 11275579392 is 29397557211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16084642 + ... + 16085342.

It is an arithmetic number, because the mean of its divisors is an integer number (95539824).

Almost surely, 2^11275579392 is an apocalyptic number.

11275579392 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 11275579392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19872283392).

11275579392 is an abundant number, since it is smaller than the sum of its proper divisors (28468987392).

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

11275579392 is a wasteful number, since it uses less digits than its factorization.

11275579392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 741 counting only the distinct ones).

The product of its digits is 1190700, while the sum is 51.

The spelling of 11275579392 in words is "eleven billion, two hundred seventy-five million, five hundred seventy-nine thousand, three hundred ninety-two".