21380626152 has 192 divisors, whose sum is σ = 60279785280. Its totient is φ = 6841691136.

The previous prime is 21380626139. The next prime is 21380626187. The reversal of 21380626152 is 25162608312.

21380626152 is a `hidden beast` number, since 2 + 1 + 38 + 0 + 6 + 2 + 615 + 2 = 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77186238 + ... + 77186514.

It is an arithmetic number, because the mean of its divisors is an integer number (313957215).

Almost surely, 2^21380626152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21380626152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30139892640).

21380626152 is an abundant number, since it is smaller than the sum of its proper divisors (38899159128).

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

21380626152 is a wasteful number, since it uses less digits than its factorization.

21380626152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21380626152 in words is "twenty-one billion, three hundred eighty million, six hundred twenty-six thousand, one hundred fifty-two".