21430410889680 has 640 divisors, whose sum is σ = 80552344320000. Its totient is φ = 5205034598400.

The previous prime is 21430410889663. The next prime is 21430410889733. The reversal of 21430410889680 is 8698801403412.

It is a happy number.

21430410889680 is a `hidden beast` number, since 2 + 1 + 430 + 41 + 0 + 8 + 8 + 96 + 80 = 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 127 ways as a sum of consecutive naturals, for example, 6213512596 + ... + 6213516044.

It is an arithmetic number, because the mean of its divisors is an integer number (125863038000).

Almost surely, 2^{21430410889680} is an apocalyptic number.

21430410889680 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 21430410889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40276172160000).

21430410889680 is an abundant number, since it is smaller than the sum of its proper divisors (59121933430320).

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

21430410889680 is a wasteful number, since it uses less digits than its factorization.

21430410889680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6352 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 21430410889680 in words is "twenty-one trillion, four hundred thirty billion, four hundred ten million, eight hundred eighty-nine thousand, six hundred eighty".