21818901260160 has 384 divisors, whose sum is σ = 78152004403200. Its totient is φ = 5817024792576.

The previous prime is 21818901260087. The next prime is 21818901260201. The reversal of 21818901260160 is 6106210981812.

It is a happy number.

21818901260160 is a `hidden beast` number, since 2 + 18 + 18 + 9 + 0 + 12 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×21818901260160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796093177 + ... + 796120583.

It is an arithmetic number, because the mean of its divisors is an integer number (203520844800).

Almost surely, 2^{21818901260160} is an apocalyptic number.

21818901260160 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 21818901260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39076002201600).

21818901260160 is an abundant number, since it is smaller than the sum of its proper divisors (56333103143040).

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

21818901260160 is an equidigital number, since it uses as much as digits as its factorization.

21818901260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32560 (or 32536 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 21818901260160 in words is "twenty-one trillion, eight hundred eighteen billion, nine hundred one million, two hundred sixty thousand, one hundred sixty".