18008734510080 has 2464 divisors, whose sum is σ = 71508811419648. Its totient is φ = 4335648768000.

The previous prime is 18008734510073. The next prime is 18008734510121. The reversal of 18008734510080 is 8001543780081.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 178304302030 + ... + 178304302130.

Almost surely, 2^{18008734510080} is an apocalyptic number.

18008734510080 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 18008734510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35754405709824).

18008734510080 is an abundant number, since it is smaller than the sum of its proper divisors (53500076909568).

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

18008734510080 is a wasteful number, since it uses less digits than its factorization.

18008734510080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 18008734510080 in words is "eighteen trillion, eight billion, seven hundred thirty-four million, five hundred ten thousand, eighty".