21466959276672 has 1536 divisors, whose sum is σ = 80859437568000. Its totient is φ = 5425944330240.

The previous prime is 21466959276667. The next prime is 21466959276677. The reversal of 21466959276672 is 27667295966412.

21466959276672 is a `hidden beast` number, since 2 + 1 + 466 + 9 + 5 + 92 + 7 + 6 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (21466959276667) and next prime (21466959276677).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 21466959276672.

It is not an unprimeable number, because it can be changed into a prime (21466959276677) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17994097708 + ... + 17994098900.

It is an arithmetic number, because the mean of its divisors is an integer number (52642863000).

Almost surely, 2^{21466959276672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21466959276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40429718784000).

21466959276672 is an abundant number, since it is smaller than the sum of its proper divisors (59392478291328).

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

21466959276672 is a wasteful number, since it uses less digits than its factorization.

21466959276672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1362 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 21466959276672 in words is "twenty-one trillion, four hundred sixty-six billion, nine hundred fifty-nine million, two hundred seventy-six thousand, six hundred seventy-two".