11638980072 has 160 divisors (see below), whose sum is σ = 33256666080. Its totient is φ = 3801997440.

The previous prime is 11638980071. The next prime is 11638980097. The reversal of 11638980072 is 27008983611.

11638980072 is a `hidden beast` number, since 1 + 1 + 638 + 9 + 8 + 0 + 0 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (11638980071) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20672863 + ... + 20673425.

It is an arithmetic number, because the mean of its divisors is an integer number (207854163).

Almost surely, 2^11638980072 is an apocalyptic number.

11638980072 is a gapful number since it is divisible by the number (12) 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 11638980072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628333040).

11638980072 is an abundant number, since it is smaller than the sum of its proper divisors (21617686008).

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

11638980072 is a wasteful number, since it uses less digits than its factorization.

11638980072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11638980072 in words is "eleven billion, six hundred thirty-eight million, nine hundred eighty thousand, seventy-two".