21798947903040 has 3024 divisors, whose sum is σ = 103238637360768. Its totient is φ = 4118136422400.

The previous prime is 21798947903021. The next prime is 21798947903041. The reversal of 21798947903040 is 4030974989712.

21798947903040 is a `hidden beast` number, since 2 + 1 + 7 + 98 + 9 + 479 + 0 + 30 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21798947903041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 39851824047 + ... + 39851824593.

It is an arithmetic number, because the mean of its divisors is an integer number (34139761032).

Almost surely, 2^{21798947903040} is an apocalyptic number.

21798947903040 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 21798947903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51619318680384).

21798947903040 is an abundant number, since it is smaller than the sum of its proper divisors (81439689457728).

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

21798947903040 is a wasteful number, since it uses less digits than its factorization.

21798947903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 21798947903040 in words is "twenty-one trillion, seven hundred ninety-eight billion, nine hundred forty-seven million, nine hundred three thousand, forty".