21160857384576 has 2304 divisors, whose sum is σ = 82378964828160. Its totient is φ = 5262008500224.

The previous prime is 21160857384517. The next prime is 21160857384587. The reversal of 21160857384576 is 67548375806112.

It is a happy number.

21160857384576 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 0 + 8 + 57 + 3 + 8 + 4 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 166620924225 + ... + 166620924351.

It is an arithmetic number, because the mean of its divisors is an integer number (35754759040).

Almost surely, 2^{21160857384576} is an apocalyptic number.

21160857384576 is a gapful number since it is divisible by the number (26) 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 21160857384576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41189482414080).

21160857384576 is an abundant number, since it is smaller than the sum of its proper divisors (61218107443584).

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

21160857384576 is a wasteful number, since it uses less digits than its factorization.

21160857384576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 21160857384576 in words is "twenty-one trillion, one hundred sixty billion, eight hundred fifty-seven million, three hundred eighty-four thousand, five hundred seventy-six".