21967798752 has 288 divisors, whose sum is σ = 69153188832. Its totient is φ = 6835912704.

The previous prime is 21967798733. The next prime is 21967798771. The reversal of 21967798752 is 25789776912.

It is an interprime number because it is at equal distance from previous prime (21967798733) and next prime (21967798771).

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (26671680) is a multiple of the sum of its prime divisors (1372).

It is a self number, because there is not a number n which added to its sum of digits gives 21967798752.

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 47 ways as a sum of consecutive naturals, for example, 18109698 + ... + 18110910.

It is an arithmetic number, because the mean of its divisors is an integer number (240115239).

Almost surely, 2^21967798752 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 21967798752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34576594416).

21967798752 is an abundant number, since it is smaller than the sum of its proper divisors (47185390080).

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

21967798752 is a wasteful number, since it uses less digits than its factorization.

21967798752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1372 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 63.

The spelling of 21967798752 in words is "twenty-one billion, nine hundred sixty-seven million, seven hundred ninety-eight thousand, seven hundred fifty-two".