11359031040 has 324 divisors, whose sum is σ = 45719836344. Its totient is φ = 2596220928.

The previous prime is 11359031039. The next prime is 11359031051. The reversal of 11359031040 is 4013095311.

11359031040 is a `hidden beast` number, since 1 + 1 + 3 + 590 + 31 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11359030995 and 11359031013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 554419 + ... + 574541.

It is an arithmetic number, because the mean of its divisors is an integer number (141110606).

Almost surely, 2^11359031040 is an apocalyptic number.

11359031040 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 11359031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22859918172).

11359031040 is an abundant number, since it is smaller than the sum of its proper divisors (34360805304).

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

11359031040 is a wasteful number, since it uses less digits than its factorization.

11359031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20164 (or 20140 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 11359031040 in words is "eleven billion, three hundred fifty-nine million, thirty-one thousand, forty".