21038820485664 has 192 divisors, whose sum is σ = 56662719160320. Its totient is φ = 6832549800960.

The previous prime is 21038820485651. The next prime is 21038820485699. The reversal of 21038820485664 is 46658402883012.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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, 882822229 + ... + 882846059.

It is an arithmetic number, because the mean of its divisors is an integer number (295118328960).

Almost surely, 2^{21038820485664} is an apocalyptic number.

21038820485664 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 21038820485664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28331359580160).

21038820485664 is an abundant number, since it is smaller than the sum of its proper divisors (35623898674656).

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

21038820485664 is a wasteful number, since it uses less digits than its factorization.

21038820485664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25103 (or 25095 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 21038820485664 in words is "twenty-one trillion, thirty-eight billion, eight hundred twenty million, four hundred eighty-five thousand, six hundred sixty-four".