21007351296 has 200 divisors, whose sum is σ = 64867243320. Its totient is φ = 6760599552.

The previous prime is 21007351289. The next prime is 21007351331. The reversal of 21007351296 is 69215370012.

21007351296 is a `hidden beast` number, since 2 + 10 + 0 + 7 + 351 + 296 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21007351296.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1193955 + ... + 1211421.

Almost surely, 2^21007351296 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 21007351296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32433621660).

21007351296 is an abundant number, since it is smaller than the sum of its proper divisors (43859892024).

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

21007351296 is an equidigital number, since it uses as much as digits as its factorization.

21007351296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17526 (or 17501 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 21007351296 in words is "twenty-one billion, seven million, three hundred fifty-one thousand, two hundred ninety-six".