11563960320 has 864 divisors, whose sum is σ = 47409387480. Its totient is φ = 2595225600.

The previous prime is 11563960313. The next prime is 11563960361. The reversal of 11563960320 is 2306936511.

11563960320 is a `hidden beast` number, since 1 + 1 + 563 + 9 + 60 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7682171904 + 3881788416 = 87648^2 + 62304^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189573090 + ... + 189573150.

Almost surely, 2^11563960320 is an apocalyptic number.

11563960320 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 11563960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23704693740).

11563960320 is an abundant number, since it is smaller than the sum of its proper divisors (35845427160).

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

11563960320 is a wasteful number, since it uses less digits than its factorization.

11563960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 11563960320 in words is "eleven billion, five hundred sixty-three million, nine hundred sixty thousand, three hundred twenty".