21817852943040 has 2688 divisors, whose sum is σ = 101739801600000. Its totient is φ = 4383822643200.

The previous prime is 21817852943023. The next prime is 21817852943063. The reversal of 21817852943040 is 4034925871812.

21817852943040 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 78 + 529 + 4 + 3 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17468256336 + ... + 17468257584.

Almost surely, 2^{21817852943040} is an apocalyptic number.

21817852943040 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 21817852943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50869900800000).

21817852943040 is an abundant number, since it is smaller than the sum of its proper divisors (79921948656960).

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

21817852943040 is a wasteful number, since it uses less digits than its factorization.

21817852943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 21817852943040 in words is "twenty-one trillion, eight hundred seventeen billion, eight hundred fifty-two million, nine hundred forty-three thousand, forty".