21873590968320 has 1680 divisors, whose sum is σ = 95310268070472. Its totient is φ = 4612659609600.

The previous prime is 21873590968303. The next prime is 21873590968331. The reversal of 21873590968320 is 2386909537812.

21873590968320 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 3 + 590 + 9 + 6 + 8 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8342022721536 + 13531568246784 = 2888256^2 + 3678528^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11506359370 + ... + 11506361270.

Almost surely, 2^{21873590968320} is an apocalyptic number.

21873590968320 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 21873590968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47655134035236).

21873590968320 is an abundant number, since it is smaller than the sum of its proper divisors (73436677102152).

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

21873590968320 is an equidigital number, since it uses as much as digits as its factorization.

21873590968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 21873590968320 in words is "twenty-one trillion, eight hundred seventy-three billion, five hundred ninety million, nine hundred sixty-eight thousand, three hundred twenty".