21071097913600 has 1296 divisors, whose sum is σ = 63945853870080. Its totient is φ = 6847458508800.

The previous prime is 21071097913571. The next prime is 21071097913643. The reversal of 21071097913600 is 631979017012.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116414905510 + ... + 116414905690.

Almost surely, 2^{21071097913600} is an apocalyptic number.

21071097913600 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 21071097913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31972926935040).

21071097913600 is an abundant number, since it is smaller than the sum of its proper divisors (42874755956480).

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

21071097913600 is a wasteful number, since it uses less digits than its factorization.

21071097913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 46.

The spelling of 21071097913600 in words is "twenty-one trillion, seventy-one billion, ninety-seven million, nine hundred thirteen thousand, six hundred".