95442563284992 has 2880 divisors, whose sum is σ = 375490015100928. Its totient is φ = 23701546598400.

The previous prime is 95442563284951. The next prime is 95442563285089. The reversal of 95442563284992 is 29948236524459.

95442563284992 is a `hidden beast` number, since 9 + 5 + 4 + 4 + 256 + 3 + 284 + 9 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 95442563284992.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1149910400983 + ... + 1149910401065.

Almost surely, 2^{95442563284992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95442563284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187745007550464).

95442563284992 is an abundant number, since it is smaller than the sum of its proper divisors (280047451815936).

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

95442563284992 is an frugal number, since it uses more digits than its factorization.

95442563284992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 137 counting only the distinct ones).

The product of its digits is 1343692800, while the sum is 72.

The spelling of 95442563284992 in words is "ninety-five trillion, four hundred forty-two billion, five hundred sixty-three million, two hundred eighty-four thousand, nine hundred ninety-two".