1995695582400 has 1008 divisors, whose sum is σ = 8292909398400. Its totient is φ = 465360629760.

The previous prime is 1995695582371. The next prime is 1995695582401. The reversal of 1995695582400 is 42855965991.

1995695582400 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 6 + 9 + 5 + 582 + 40 + 0 = 666.

It is a super-2 number, since 2×1995695582400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1995695582401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 138708007 + ... + 138722393.

Almost surely, 2^{1995695582400} is an apocalyptic number.

1995695582400 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 1995695582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146454699200).

1995695582400 is an abundant number, since it is smaller than the sum of its proper divisors (6297213816000).

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

1995695582400 is a wasteful number, since it uses less digits than its factorization.

1995695582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14463 (or 14429 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 1995695582400 in words is "one trillion, nine hundred ninety-five billion, six hundred ninety-five million, five hundred eighty-two thousand, four hundred".