11933982720 has 672 divisors, whose sum is σ = 47230223040. Its totient is φ = 2866544640.

The previous prime is 11933982719. The next prime is 11933982737. The reversal of 11933982720 is 2728933911.

11933982720 is a `hidden beast` number, since 1 + 193 + 398 + 2 + 72 + 0 = 666.

It is a super-2 number, since 2×11933982720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109486026 + ... + 109486134.

It is an arithmetic number, because the mean of its divisors is an integer number (70283070).

Almost surely, 2^11933982720 is an apocalyptic number.

11933982720 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 11933982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23615111520).

11933982720 is an abundant number, since it is smaller than the sum of its proper divisors (35296240320).

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

11933982720 is an equidigital number, since it uses as much as digits as its factorization.

11933982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 11933982720 in words is "eleven billion, nine hundred thirty-three million, nine hundred eighty-two thousand, seven hundred twenty".