21064691145960 has 384 divisors, whose sum is σ = 87094938528000. Its totient is φ = 4377078397440.

The previous prime is 21064691145947. The next prime is 21064691145961. The reversal of 21064691145960 is 6954119646012.

21064691145960 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 46 + 9 + 1 + 1 + 4 + 596 + 0 = 666.

It is a super-3 number, since 3×21064691145960³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21064691145897 and 21064691145906.

It is not an unprimeable number, because it can be changed into a prime (21064691145961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6395899 + ... + 9112458.

It is an arithmetic number, because the mean of its divisors is an integer number (226809735750).

Almost surely, 2^{21064691145960} is an apocalyptic number.

21064691145960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21064691145960 is an abundant number, since it is smaller than the sum of its proper divisors (66030247382040).

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

21064691145960 is a wasteful number, since it uses less digits than its factorization.

21064691145960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15508406 (or 15508385 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 21064691145960 in words is "twenty-one trillion, sixty-four billion, six hundred ninety-one million, one hundred forty-five thousand, nine hundred sixty".