21695312077764 has 96 divisors (see below), whose sum is σ = 55296585361920. Its totient is φ = 6580226585088.

The previous prime is 21695312077763. The next prime is 21695312077861. The reversal of 21695312077764 is 46777021359612.

It is a junction number, because it is equal to n+sod(n) for n = 21695312077698 and 21695312077707.

It is not an unprimeable number, because it can be changed into a prime (21695312077763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6118714 + ... + 8990510.

It is an arithmetic number, because the mean of its divisors is an integer number (576006097520).

Almost surely, 2^{21695312077764} 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 21695312077764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648292680960).

21695312077764 is an abundant number, since it is smaller than the sum of its proper divisors (33601273284156).

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

21695312077764 is a wasteful number, since it uses less digits than its factorization.

21695312077764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872509 (or 2872507 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 21695312077764 in words is "twenty-one trillion, six hundred ninety-five billion, three hundred twelve million, seventy-seven thousand, seven hundred sixty-four".