2007147171360 has 384 divisors, whose sum is σ = 6714563433984. Its totient is φ = 502954721280.

The previous prime is 2007147171349. The next prime is 2007147171431. The reversal of 2007147171360 is 631717417002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146703720 + ... + 146717400.

It is an arithmetic number, because the mean of its divisors is an integer number (17485842276).

Almost surely, 2^{2007147171360} is an apocalyptic number.

2007147171360 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 2007147171360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357281716992).

2007147171360 is an abundant number, since it is smaller than the sum of its proper divisors (4707416262624).

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

2007147171360 is a wasteful number, since it uses less digits than its factorization.

2007147171360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13956 (or 13948 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The spelling of 2007147171360 in words is "two trillion, seven billion, one hundred forty-seven million, one hundred seventy-one thousand, three hundred sixty".