95278359825792 has 1152 divisors, whose sum is σ = 345964905861120. Its totient is φ = 25731269222400.

The previous prime is 95278359825787. The next prime is 95278359825797. The reversal of 95278359825792 is 29752895387259.

It is a happy number.

95278359825792 is a `hidden beast` number, since 9 + 5 + 2 + 7 + 8 + 35 + 9 + 8 + 2 + 579 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (95278359825787) and next prime (95278359825797).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95278359825797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3740647617 + ... + 3740673087.

It is an arithmetic number, because the mean of its divisors is an integer number (300316758560).

Almost surely, 2^{95278359825792} 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 95278359825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172982452930560).

95278359825792 is an abundant number, since it is smaller than the sum of its proper divisors (250686546035328).

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

95278359825792 is a wasteful number, since it uses less digits than its factorization.

95278359825792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25582 (or 25529 counting only the distinct ones).

The product of its digits is 6858432000, while the sum is 81.

The spelling of 95278359825792 in words is "ninety-five trillion, two hundred seventy-eight billion, three hundred fifty-nine million, eight hundred twenty-five thousand, seven hundred ninety-two".