21146999813280 has 864 divisors, whose sum is σ = 80865955497600. Its totient is φ = 4990612746240.

The previous prime is 21146999813273. The next prime is 21146999813351. The reversal of 21146999813280 is 8231899964112.

21146999813280 is a `hidden beast` number, since 2 + 1 + 1 + 469 + 9 + 98 + 1 + 3 + 2 + 80 = 666.

It is a super-2 number, since 2×21146999813280² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6963119922 + ... + 6963122958.

It is an arithmetic number, because the mean of its divisors is an integer number (93594855900).

Almost surely, 2^{21146999813280} is an apocalyptic number.

21146999813280 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 21146999813280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40432977748800).

21146999813280 is an abundant number, since it is smaller than the sum of its proper divisors (59718955684320).

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

21146999813280 is a wasteful number, since it uses less digits than its factorization.

21146999813280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 21146999813280 in words is "twenty-one trillion, one hundred forty-six billion, nine hundred ninety-nine million, eight hundred thirteen thousand, two hundred eighty".