1995163378560 has 768 divisors, whose sum is σ = 8059058841600. Its totient is φ = 449442938880.

The previous prime is 1995163378541. The next prime is 1995163378561. The reversal of 1995163378560 is 658733615991.

1995163378560 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 1 + 63 + 3 + 7 + 8 + 560 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995163378561) 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, 85080757 + ... + 85104203.

It is an arithmetic number, because the mean of its divisors is an integer number (10493566200).

Almost surely, 2^{1995163378560} is an apocalyptic number.

1995163378560 is a gapful number since it is divisible by the number (10) 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 1995163378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029529420800).

1995163378560 is an abundant number, since it is smaller than the sum of its proper divisors (6063895463040).

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

1995163378560 is a wasteful number, since it uses less digits than its factorization.

1995163378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23579 (or 23564 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 1995163378560 in words is "one trillion, nine hundred ninety-five billion, one hundred sixty-three million, three hundred seventy-eight thousand, five hundred sixty".