21685953300480 has 1728 divisors, whose sum is σ = 92572837156800. Its totient is φ = 4673352499200.

The previous prime is 21685953300457. The next prime is 21685953300493. The reversal of 21685953300480 is 8400335958612.

21685953300480 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 595 + 3 + 3 + 0 + 0 + 48 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5631250555 + ... + 5631254405.

It is an arithmetic number, because the mean of its divisors is an integer number (53572243725).

Almost surely, 2^{21685953300480} is an apocalyptic number.

21685953300480 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 21685953300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46286418578400).

21685953300480 is an abundant number, since it is smaller than the sum of its proper divisors (70886883856320).

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

21685953300480 is a wasteful number, since it uses less digits than its factorization.

21685953300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 21685953300480 in words is "twenty-one trillion, six hundred eighty-five billion, nine hundred fifty-three million, three hundred thousand, four hundred eighty".