11638710072 has 256 divisors, whose sum is σ = 37297152000. Its totient is φ = 3325795200.

The previous prime is 11638710071. The next prime is 11638710073. The reversal of 11638710072 is 27001783611.

11638710072 is a `hidden beast` number, since 1 + 1 + 638 + 7 + 10 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11638710071) and next prime (11638710073).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11638710071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12775297 + ... + 12776207.

It is an arithmetic number, because the mean of its divisors is an integer number (145692000).

Almost surely, 2^11638710072 is an apocalyptic number.

11638710072 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 11638710072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648576000).

11638710072 is an abundant number, since it is smaller than the sum of its proper divisors (25658441928).

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

11638710072 is a wasteful number, since it uses less digits than its factorization.

11638710072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11638710072 in words is "eleven billion, six hundred thirty-eight million, seven hundred ten thousand, seventy-two".