21419289766000 has 160 divisors (see below), whose sum is σ = 59198646079872. Its totient is φ = 7342767820800.

The previous prime is 21419289765967. The next prime is 21419289766073. The reversal of 21419289766000 is 66798291412.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 107938872 + ... + 108137128.

Almost surely, 2^{21419289766000} is an apocalyptic number.

21419289766000 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 21419289766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29599323039936).

21419289766000 is an abundant number, since it is smaller than the sum of its proper divisors (37779356313872).

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

21419289766000 is a wasteful number, since it uses less digits than its factorization.

21419289766000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206004 (or 205988 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 21419289766000 in words is "twenty-one trillion, four hundred nineteen billion, two hundred eighty-nine million, seven hundred sixty-six thousand".