2167999561728 has 1920 divisors, whose sum is σ = 9233634009600. Its totient is φ = 489223618560.

The previous prime is 2167999561727. The next prime is 2167999561747. The reversal of 2167999561728 is 8271659997612.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2167999561727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127529385976 + ... + 127529385992.

It is an arithmetic number, because the mean of its divisors is an integer number (4809184380).

Almost surely, 2^{2167999561728} is an apocalyptic number.

2167999561728 is a gapful number since it is divisible by the number (28) 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 2167999561728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616817004800).

2167999561728 is an abundant number, since it is smaller than the sum of its proper divisors (7065634447872).

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

2167999561728 is an frugal number, since it uses more digits than its factorization.

2167999561728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 53 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 72.

The spelling of 2167999561728 in words is "two trillion, one hundred sixty-seven billion, nine hundred ninety-nine million, five hundred sixty-one thousand, seven hundred twenty-eight".