21610160640000 has 2080 divisors, whose sum is σ = 86555258951040. Its totient is φ = 5306056704000.

The previous prime is 21610160639959. The next prime is 21610160640011. The reversal of 21610160640000 is 4606101612.

21610160640000 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 0 + 16 + 0 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 62277119827 + ... + 62277120173.

Almost surely, 2^{21610160640000} is an apocalyptic number.

21610160640000 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 21610160640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43277629475520).

21610160640000 is an abundant number, since it is smaller than the sum of its proper divisors (64945098311040).

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

21610160640000 is an equidigital number, since it uses as much as digits as its factorization.

21610160640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 21610160640000 its reverse (4606101612), we get a palindrome (21614766741612).

The spelling of 21610160640000 in words is "twenty-one trillion, six hundred ten billion, one hundred sixty million, six hundred forty thousand".