995526967680 has 192 divisors, whose sum is σ = 3928776228000. Its totient is φ = 227549011968.

The previous prime is 995526967679. The next prime is 995526967709. The reversal of 995526967680 is 86769625599.

995526967680 is a `hidden beast` number, since 9 + 9 + 5 + 526 + 96 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 995526967599 and 995526967608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12305005 + ... + 12385644.

Almost surely, 2^995526967680 is an apocalyptic number.

995526967680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

995526967680 is an abundant number, since it is smaller than the sum of its proper divisors (2933249260320).

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

995526967680 is a wasteful number, since it uses less digits than its factorization.

995526967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24690681 (or 24690666 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 995526967680 in words is "nine hundred ninety-five billion, five hundred twenty-six million, nine hundred sixty-seven thousand, six hundred eighty".