18212290560 has 512 divisors, whose sum is σ = 67946688000. Its totient is φ = 4619501568.

The previous prime is 18212290559. The next prime is 18212290597. The reversal of 18212290560 is 6509221281.

18212290560 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 2 + 2 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×18212290560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101744551 + ... + 101744729.

It is an arithmetic number, because the mean of its divisors is an integer number (132708375).

Almost surely, 2^18212290560 is an apocalyptic number.

18212290560 is a gapful number since it is divisible by the number (10) 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 18212290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33973344000).

18212290560 is an abundant number, since it is smaller than the sum of its proper divisors (49734397440).

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

18212290560 is an equidigital number, since it uses as much as digits as its factorization.

18212290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 18212290560 in words is "eighteen billion, two hundred twelve million, two hundred ninety thousand, five hundred sixty".