1995154087680 has 864 divisors, whose sum is σ = 7880238596160. Its totient is φ = 475169587200.

The previous prime is 1995154087679. The next prime is 1995154087699. The reversal of 1995154087680 is 867804515991.

1995154087680 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 1 + 540 + 8 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431755770 + ... + 431760390.

Almost surely, 2^{1995154087680} is an apocalyptic number.

1995154087680 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 1995154087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940119298080).

1995154087680 is an abundant number, since it is smaller than the sum of its proper divisors (5885084508480).

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

1995154087680 is a wasteful number, since it uses less digits than its factorization.

1995154087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 1995154087680 in words is "one trillion, nine hundred ninety-five billion, one hundred fifty-four million, eighty-seven thousand, six hundred eighty".