1195020642816 has 1920 divisors, whose sum is σ = 4929471993600. Its totient is φ = 282593525760.

The previous prime is 1195020642811. The next prime is 1195020642917. The reversal of 1195020642816 is 6182460205911.

1195020642816 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 0 + 206 + 428 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1195020642811) 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, 16370145756 + ... + 16370145828.

It is an arithmetic number, because the mean of its divisors is an integer number (2567433330).

Almost surely, 2^{1195020642816} is an apocalyptic number.

1195020642816 is a gapful number since it is divisible by the number (16) 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 1195020642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464735996800).

1195020642816 is an abundant number, since it is smaller than the sum of its proper divisors (3734451350784).

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

1195020642816 is an equidigital number, since it uses as much as digits as its factorization.

1195020642816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1195020642816 in words is "one trillion, one hundred ninety-five billion, twenty million, six hundred forty-two thousand, eight hundred sixteen".