21921465646080 has 5632 divisors, whose sum is σ = 110530925568000. Its totient is φ = 4057753190400.

The previous prime is 21921465646051. The next prime is 21921465646121. The reversal of 21921465646080 is 8064656412912.

It is a happy number.

21921465646080 is a `hidden beast` number, since 2 + 1 + 9 + 2 + 14 + 6 + 564 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5632).

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 511 ways as a sum of consecutive naturals, for example, 359368289250 + ... + 359368289310.

Almost surely, 2^{21921465646080} is an apocalyptic number.

21921465646080 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 21921465646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55265462784000).

21921465646080 is an abundant number, since it is smaller than the sum of its proper divisors (88609459921920).

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

21921465646080 is a wasteful number, since it uses less digits than its factorization.

21921465646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 21921465646080 in words is "twenty-one trillion, nine hundred twenty-one billion, four hundred sixty-five million, six hundred forty-six thousand, eighty".