995607360000 has 900 divisors, whose sum is σ = 3948061283166. Its totient is φ = 241274880000.

The previous prime is 995607359987. The next prime is 995607360001. The reversal of 995607360000 is 63706599.

995607360000 is a `hidden beast` number, since 9 + 9 + 5 + 607 + 36 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 38372108544 + 957235251456 = 195888^2 + 978384^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (995607360001) 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 89 ways as a sum of consecutive naturals, for example, 348478572 + ... + 348481428.

Almost surely, 2^995607360000 is an apocalyptic number.

995607360000 is a gapful number since it is divisible by the number (90) 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 995607360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974030641583).

995607360000 is an abundant number, since it is smaller than the sum of its proper divisors (2952453923166).

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

995607360000 is a wasteful number, since it uses less digits than its factorization.

995607360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 995607360000 in words is "nine hundred ninety-five billion, six hundred seven million, three hundred sixty thousand".