2172111593960 has 768 divisors, whose sum is σ = 6979662950400. Its totient is φ = 598432665600.

The previous prime is 2172111593957. The next prime is 2172111593963. The reversal of 2172111593960 is 693951112712.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2172111593957) and next prime (2172111593963).

It is not an unprimeable number, because it can be changed into a prime (2172111593963) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 386287709 + ... + 386293331.

It is an arithmetic number, because the mean of its divisors is an integer number (9088102800).

Almost surely, 2^{2172111593960} is an apocalyptic number.

2172111593960 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 2172111593960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489831475200).

2172111593960 is an abundant number, since it is smaller than the sum of its proper divisors (4807551356440).

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

2172111593960 is a wasteful number, since it uses less digits than its factorization.

2172111593960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 47.

The spelling of 2172111593960 in words is "two trillion, one hundred seventy-two billion, one hundred eleven million, five hundred ninety-three thousand, nine hundred sixty".