21299761296 has 400 divisors, whose sum is σ = 69202529088. Its totient is φ = 6270566400.

The previous prime is 21299761279. The next prime is 21299761303. The reversal of 21299761296 is 69216799212.

21299761296 is a `hidden beast` number, since 2 + 1 + 299 + 7 + 61 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100946631 + ... + 100946841.

Almost surely, 2^21299761296 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 21299761296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34601264544).

21299761296 is an abundant number, since it is smaller than the sum of its proper divisors (47902767792).

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

21299761296 is a wasteful number, since it uses less digits than its factorization.

21299761296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 397 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 21299761296 in words is "twenty-one billion, two hundred ninety-nine million, seven hundred sixty-one thousand, two hundred ninety-six".