21189702293760 has 2304 divisors, whose sum is σ = 94834211512320. Its totient is φ = 3921710284800.

The previous prime is 21189702293723. The next prime is 21189702293777. The reversal of 21189702293760 is 6739220798112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21189702293760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13488033775 + ... + 13488035345.

It is an arithmetic number, because the mean of its divisors is an integer number (41160682080).

Almost surely, 2^{21189702293760} is an apocalyptic number.

21189702293760 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 21189702293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47417105756160).

21189702293760 is an abundant number, since it is smaller than the sum of its proper divisors (73644509218560).

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

21189702293760 is a wasteful number, since it uses less digits than its factorization.

21189702293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 21189702293760 in words is "twenty-one trillion, one hundred eighty-nine billion, seven hundred two million, two hundred ninety-three thousand, seven hundred sixty".