11279600640 has 1188 divisors, whose sum is σ = 52154579568. Its totient is φ = 2205941760.

The previous prime is 11279600639. The next prime is 11279600659. The reversal of 11279600640 is 4600697211.

11279600640 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 9 + 6 + 0 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11279600595 and 11279600604.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 663505912 + ... + 663505928.

Almost surely, 2^11279600640 is an apocalyptic number.

11279600640 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 11279600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26077289784).

11279600640 is an abundant number, since it is smaller than the sum of its proper divisors (40874978928).

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

11279600640 is a wasteful number, since it uses less digits than its factorization.

11279600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11279600640 in words is "eleven billion, two hundred seventy-nine million, six hundred thousand, six hundred forty".