21695312077824 has 1056 divisors, whose sum is σ = 76829010665472. Its totient is φ = 5375655936000.

The previous prime is 21695312077763. The next prime is 21695312077861. The reversal of 21695312077824 is 42877021359612.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3644430432 + ... + 3644436384.

It is a 1-persistent number, because it is pandigital, but 2⋅21695312077824 = 43390624155648 is not.

Almost surely, 2^{21695312077824} is an apocalyptic number.

21695312077824 is a gapful number since it is divisible by the number (24) 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 21695312077824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38414505332736).

21695312077824 is an abundant number, since it is smaller than the sum of its proper divisors (55133698587648).

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

21695312077824 is a wasteful number, since it uses less digits than its factorization.

21695312077824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6103 (or 6078 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 21695312077824 in words is "twenty-one trillion, six hundred ninety-five billion, three hundred twelve million, seventy-seven thousand, eight hundred twenty-four".