21164360064 has 256 divisors, whose sum is σ = 60595637760. Its totient is φ = 6528614400.

The previous prime is 21164360059. The next prime is 21164360089. The reversal of 21164360064 is 46006346112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76405494 + ... + 76405770.

It is an arithmetic number, because the mean of its divisors is an integer number (236701710).

Almost surely, 2^21164360064 is an apocalyptic number.

21164360064 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 21164360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30297818880).

21164360064 is an abundant number, since it is smaller than the sum of its proper divisors (39431277696).

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

21164360064 is a wasteful number, since it uses less digits than its factorization.

21164360064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 21164360064 in words is "twenty-one billion, one hundred sixty-four million, three hundred sixty thousand, sixty-four".