18225670135680 has 768 divisors, whose sum is σ = 74723872204800. Its totient is φ = 4158404739072.

The previous prime is 18225670135601. The next prime is 18225670135721. The reversal of 18225670135680 is 8653107652281.

18225670135680 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 5 + 6 + 70 + 1 + 3 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 619421449 + ... + 619450871.

It is an arithmetic number, because the mean of its divisors is an integer number (97296708600).

Almost surely, 2^{18225670135680} is an apocalyptic number.

18225670135680 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 18225670135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37361936102400).

18225670135680 is an abundant number, since it is smaller than the sum of its proper divisors (56498202069120).

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

18225670135680 is an equidigital number, since it uses as much as digits as its factorization.

18225670135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30033 (or 30009 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 18225670135680 in words is "eighteen trillion, two hundred twenty-five billion, six hundred seventy million, one hundred thirty-five thousand, six hundred eighty".