21895339087440 has 3840 divisors, whose sum is σ = 102677828198400. Its totient is φ = 4208445849600.

The previous prime is 21895339087417. The next prime is 21895339087469. The reversal of 21895339087440 is 4478093359812.

21895339087440 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 533 + 90 + 8 + 7 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 120968724150 + ... + 120968724330.

It is an arithmetic number, because the mean of its divisors is an integer number (26739017760).

Almost surely, 2^{21895339087440} is an apocalyptic number.

21895339087440 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 21895339087440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51338914099200).

21895339087440 is an abundant number, since it is smaller than the sum of its proper divisors (80782489110960).

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

21895339087440 is a wasteful number, since it uses less digits than its factorization.

21895339087440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 21895339087440 in words is "twenty-one trillion, eight hundred ninety-five billion, three hundred thirty-nine million, eighty-seven thousand, four hundred forty".