21284020676640 has 384 divisors, whose sum is σ = 71229338530560. Its totient is φ = 5327076851712.

The previous prime is 21284020676623. The next prime is 21284020676669. The reversal of 21284020676640 is 4667602048212.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21284020676640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4279913194 + ... + 4279918166.

It is an arithmetic number, because the mean of its divisors is an integer number (185493069090).

Almost surely, 2^{21284020676640} is an apocalyptic number.

21284020676640 is a gapful number since it is divisible by the number (20) 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 21284020676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35614669265280).

21284020676640 is an abundant number, since it is smaller than the sum of its proper divisors (49945317853920).

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

21284020676640 is a wasteful number, since it uses less digits than its factorization.

21284020676640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9276 (or 9268 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 21284020676640 in words is "twenty-one trillion, two hundred eighty-four billion, twenty million, six hundred seventy-six thousand, six hundred forty".