21466417770160 has 160 divisors (see below), whose sum is σ = 56240887209984. Its totient is φ = 7549070208000.

The previous prime is 21466417770131. The next prime is 21466417770167. The reversal of 21466417770160 is 6107771466412.

It is a junction number, because it is equal to n+sod(n) for n = 21466417770098 and 21466417770107.

It is not an unprimeable number, because it can be changed into a prime (21466417770167) by changing a digit.

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, 40300770 + ... + 40829950.

Almost surely, 2^{21466417770160} is an apocalyptic number.

21466417770160 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 21466417770160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28120443604992).

21466417770160 is an abundant number, since it is smaller than the sum of its proper divisors (34774469439824).

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

21466417770160 is a wasteful number, since it uses less digits than its factorization.

21466417770160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530723 (or 530717 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The spelling of 21466417770160 in words is "twenty-one trillion, four hundred sixty-six billion, four hundred seventeen million, seven hundred seventy thousand, one hundred sixty".