21281593542912 has 360 divisors, whose sum is σ = 63757832033280. Its totient is φ = 7060389027840.

The previous prime is 21281593542889. The next prime is 21281593542941. The reversal of 21281593542912 is 21924539518212.

It is a happy number.

21281593542912 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 1 + 5 + 9 + 3 + 542 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 9884622028 + ... + 9884624180.

Almost surely, 2^{21281593542912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21281593542912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31878916016640).

21281593542912 is an abundant number, since it is smaller than the sum of its proper divisors (42476238490368).

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

21281593542912 is a wasteful number, since it uses less digits than its factorization.

21281593542912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4188 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 21281593542912 in words is "twenty-one trillion, two hundred eighty-one billion, five hundred ninety-three million, five hundred forty-two thousand, nine hundred twelve".