11026379520 has 864 divisors, whose sum is σ = 44837380224. Its totient is φ = 2477260800.

The previous prime is 11026379489. The next prime is 11026379579. The reversal of 11026379520 is 2597362011.

11026379520 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 63 + 79 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155301085 + ... + 155301155.

It is an arithmetic number, because the mean of its divisors is an integer number (51895116).

Almost surely, 2^11026379520 is an apocalyptic number.

11026379520 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 11026379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22418690112).

11026379520 is an abundant number, since it is smaller than the sum of its proper divisors (33811000704).

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

11026379520 is a wasteful number, since it uses less digits than its factorization.

11026379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 11026379520 in words is "eleven billion, twenty-six million, three hundred seventy-nine thousand, five hundred twenty".