21008292879280 has 320 divisors, whose sum is σ = 57894967342080. Its totient is φ = 6939286474752.

The previous prime is 21008292879271. The next prime is 21008292879319. The reversal of 21008292879280 is 8297829280012.

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, 6059500107 + ... + 6059503573.

It is an arithmetic number, because the mean of its divisors is an integer number (180921772944).

Almost surely, 2^{21008292879280} is an apocalyptic number.

21008292879280 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 21008292879280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28947483671040).

21008292879280 is an abundant number, since it is smaller than the sum of its proper divisors (36886674462800).

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

21008292879280 is a wasteful number, since it uses less digits than its factorization.

21008292879280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6316 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 58.

The spelling of 21008292879280 in words is "twenty-one trillion, eight billion, two hundred ninety-two million, eight hundred seventy-nine thousand, two hundred eighty".