11911864320 has 224 divisors, whose sum is σ = 42354642240. Its totient is φ = 3176202240.

The previous prime is 11911864309. The next prime is 11911864339. The reversal of 11911864320 is 2346811911.

11911864320 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 1 + 8 + 643 + 2 + 0 = 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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100535 + ... + 1111305.

Almost surely, 2^11911864320 is an apocalyptic number.

11911864320 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 11911864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21177321120).

11911864320 is an abundant number, since it is smaller than the sum of its proper divisors (30442777920).

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

11911864320 is an equidigital number, since it uses as much as digits as its factorization.

11911864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10811 (or 10781 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11911864320 in words is "eleven billion, nine hundred eleven million, eight hundred sixty-four thousand, three hundred twenty".