18007142217180 has 288 divisors, whose sum is σ = 53762859549504. Its totient is φ = 4502314672128.

The previous prime is 18007142217173. The next prime is 18007142217217. The reversal of 18007142217180 is 8171224170081.

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, 1794071122 + ... + 1794081158.

It is an arithmetic number, because the mean of its divisors is an integer number (186676595658).

Almost surely, 2^{18007142217180} is an apocalyptic number.

18007142217180 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 18007142217180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26881429774752).

18007142217180 is an abundant number, since it is smaller than the sum of its proper divisors (35755717332324).

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

18007142217180 is a wasteful number, since it uses less digits than its factorization.

18007142217180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10933 (or 10912 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 42.

The spelling of 18007142217180 in words is "eighteen trillion, seven billion, one hundred forty-two million, two hundred seventeen thousand, one hundred eighty".