21900983128640 has 672 divisors, whose sum is σ = 70174569490560. Its totient is φ = 6419666534400.

The previous prime is 21900983128571. The next prime is 21900983128643. The reversal of 21900983128640 is 4682138900912.

It is not an unprimeable number, because it can be changed into a prime (21900983128643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 448941050 + ... + 448989830.

Almost surely, 2^{21900983128640} is an apocalyptic number.

21900983128640 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 21900983128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35087284745280).

21900983128640 is an abundant number, since it is smaller than the sum of its proper divisors (48273586361920).

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

21900983128640 is a wasteful number, since it uses less digits than its factorization.

21900983128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48979 (or 48962 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 21900983128640 in words is "twenty-one trillion, nine hundred billion, nine hundred eighty-three million, one hundred twenty-eight thousand, six hundred forty".