11279612880 has 560 divisors, whose sum is σ = 43092670464. Its totient is φ = 2732175360.

The previous prime is 11279612867. The next prime is 11279612921. The reversal of 11279612880 is 8821697211.

11279612880 is a `hidden beast` number, since 1 + 1 + 27 + 9 + 612 + 8 + 8 + 0 = 666.

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 111 ways as a sum of consecutive naturals, for example, 30734457 + ... + 30734823.

Almost surely, 2^11279612880 is an apocalyptic number.

11279612880 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 11279612880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21546335232).

11279612880 is an abundant number, since it is smaller than the sum of its proper divisors (31813057584).

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

11279612880 is a wasteful number, since it uses less digits than its factorization.

11279612880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 425 counting only the distinct ones).

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

The spelling of 11279612880 in words is "eleven billion, two hundred seventy-nine million, six hundred twelve thousand, eight hundred eighty".