2095107412800 has 1008 divisors, whose sum is σ = 7723090065600. Its totient is φ = 494987673600.

The previous prime is 2095107412777. The next prime is 2095107412813. The reversal of 2095107412800 is 82147015902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15072715131 + ... + 15072715269.

It is an arithmetic number, because the mean of its divisors is an integer number (7661795700).

Almost surely, 2^{2095107412800} is an apocalyptic number.

2095107412800 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 2095107412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861545032800).

2095107412800 is an abundant number, since it is smaller than the sum of its proper divisors (5627982652800).

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

2095107412800 is a wasteful number, since it uses less digits than its factorization.

2095107412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 2095107412800 in words is "two trillion, ninety-five billion, one hundred seven million, four hundred twelve thousand, eight hundred".