2195848160800 has 144 divisors (see below), whose sum is σ = 6166991037312. Its totient is φ = 747876096000.

The previous prime is 2195848160791. The next prime is 2195848160801. The reversal of 2195848160800 is 80618485912.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2195848160801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452797 + ... + 2143996.

It is an arithmetic number, because the mean of its divisors is an integer number (42826326648).

Almost surely, 2^{2195848160800} is an apocalyptic number.

2195848160800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2195848160800 is an abundant number, since it is smaller than the sum of its proper divisors (3971142876512).

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

2195848160800 is a wasteful number, since it uses less digits than its factorization.

2195848160800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596971 (or 2596958 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The spelling of 2195848160800 in words is "two trillion, one hundred ninety-five billion, eight hundred forty-eight million, one hundred sixty thousand, eight hundred".