21296630160 has 400 divisors, whose sum is σ = 80062844400. Its totient is φ = 5215518720.

The previous prime is 21296630119. The next prime is 21296630161. The reversal of 21296630160 is 6103669212.

It is a happy number.

21296630160 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 6 + 630 + 16 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 227527056 + 21069103104 = 15084^2 + 145152^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21296630161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20301316 + ... + 20302364.

It is an arithmetic number, because the mean of its divisors is an integer number (200157111).

Almost surely, 2^21296630160 is an apocalyptic number.

21296630160 is a gapful number since it is divisible by the number (20) 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 21296630160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40031422200).

21296630160 is an abundant number, since it is smaller than the sum of its proper divisors (58766214240).

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

21296630160 is a wasteful number, since it uses less digits than its factorization.

21296630160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 21296630160 in words is "twenty-one billion, two hundred ninety-six million, six hundred thirty thousand, one hundred sixty".