21993025689600 has 2304 divisors, whose sum is σ = 89101497139200. Its totient is φ = 4680253440000.

The previous prime is 21993025689559. The next prime is 21993025689673. The reversal of 21993025689600 is 698652039912.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158223206331 + ... + 158223206469.

It is an arithmetic number, because the mean of its divisors is an integer number (38672524800).

Almost surely, 2^{21993025689600} is an apocalyptic number.

21993025689600 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 21993025689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44550748569600).

21993025689600 is an abundant number, since it is smaller than the sum of its proper divisors (67108471449600).

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

21993025689600 is a wasteful number, since it uses less digits than its factorization.

21993025689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 21993025689600 in words is "twenty-one trillion, nine hundred ninety-three billion, twenty-five million, six hundred eighty-nine thousand, six hundred".