95086070352 has 960 divisors, whose sum is σ = 366576537600. Its totient is φ = 22759833600.

The previous prime is 95086070263. The next prime is 95086070371. The reversal of 95086070352 is 25307068059.

It is a happy number.

95086070352 is a `hidden beast` number, since 9 + 5 + 0 + 8 + 607 + 0 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 95086070298 and 95086070307.

It is a congruent number.

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, 338384452 + ... + 338384732.

It is an arithmetic number, because the mean of its divisors is an integer number (381850560).

Almost surely, 2^95086070352 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 95086070352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183288268800).

95086070352 is an abundant number, since it is smaller than the sum of its proper divisors (271490467248).

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

95086070352 is a wasteful number, since it uses less digits than its factorization.

95086070352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 95086070352 in words is "ninety-five billion, eighty-six million, seventy thousand, three hundred fifty-two".