21164571941760 has 2048 divisors, whose sum is σ = 86839216128000. Its totient is φ = 4828336128000.

The previous prime is 21164571941687. The next prime is 21164571941801. The reversal of 21164571941760 is 6714917546112.

21164571941760 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 4 + 571 + 9 + 4 + 1 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21164571941697 and 21164571941706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 63941304795 + ... + 63941305125.

It is an arithmetic number, because the mean of its divisors is an integer number (42401961000).

Almost surely, 2^{21164571941760} is an apocalyptic number.

21164571941760 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 21164571941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43419608064000).

21164571941760 is an abundant number, since it is smaller than the sum of its proper divisors (65674644186240).

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

21164571941760 is a wasteful number, since it uses less digits than its factorization.

21164571941760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 21164571941760 in words is "twenty-one trillion, one hundred sixty-four billion, five hundred seventy-one million, nine hundred forty-one thousand, seven hundred sixty".