21356944936000 has 448 divisors, whose sum is σ = 55933544931264. Its totient is φ = 8067096576000.

The previous prime is 21356944935961. The next prime is 21356944936027. The reversal of 21356944936000 is 63944965312.

It can be written as a sum of positive squares in 32 ways, for example, as 19256439662656 + 2100505273344 = 4388216^2 + 1449312^2 .

It is a super-2 number, since 2×21356944936000² (a number of 27 digits) contains 22 as substring.

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, 2390787534 + ... + 2390796466.

It is an arithmetic number, because the mean of its divisors is an integer number (124851662793).

Almost surely, 2^{21356944936000} is an apocalyptic number.

21356944936000 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 21356944936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27966772465632).

21356944936000 is an abundant number, since it is smaller than the sum of its proper divisors (34576599995264).

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

21356944936000 is a wasteful number, since it uses less digits than its factorization.

21356944936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9235 (or 9215 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 52.

The spelling of 21356944936000 in words is "twenty-one trillion, three hundred fifty-six billion, nine hundred forty-four million, nine hundred thirty-six thousand".