2167187095920 has 960 divisors, whose sum is σ = 8638733514240. Its totient is φ = 444397363200.

The previous prime is 2167187095859. The next prime is 2167187095967. The reversal of 2167187095920 is 295907817612.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4005890850 + ... + 4005891390.

It is an arithmetic number, because the mean of its divisors is an integer number (8998680744).

Almost surely, 2^{2167187095920} is an apocalyptic number.

2167187095920 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 2167187095920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319366757120).

2167187095920 is an abundant number, since it is smaller than the sum of its proper divisors (6471546418320).

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

2167187095920 is a wasteful number, since it uses less digits than its factorization.

2167187095920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 57.

The spelling of 2167187095920 in words is "two trillion, one hundred sixty-seven billion, one hundred eighty-seven million, ninety-five thousand, nine hundred twenty".