95280713828352 has 960 divisors, whose sum is σ = 332437386481200. Its totient is φ = 26919189872640.

The previous prime is 95280713828299. The next prime is 95280713828371. The reversal of 95280713828352 is 25382831708259.

95280713828352 is a `hidden beast` number, since 9 + 5 + 280 + 71 + 3 + 8 + 283 + 5 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31808517129216 + 63472196699136 = 5639904^2 + 7966944^2 .

It is a super-2 number, since 2×95280713828352² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 95280713828352.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1503079474 + ... + 1503142862.

Almost surely, 2^{95280713828352} 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 95280713828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166218693240600).

95280713828352 is an abundant number, since it is smaller than the sum of its proper divisors (237156672652848).

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

95280713828352 is a wasteful number, since it uses less digits than its factorization.

95280713828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63494 (or 63465 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 95280713828352 in words is "ninety-five trillion, two hundred eighty billion, seven hundred thirteen million, eight hundred twenty-eight thousand, three hundred fifty-two".