95095664157312 has 640 divisors, whose sum is σ = 366643833494400. Its totient is φ = 23760161464320.

The previous prime is 95095664157311. The next prime is 95095664157337. The reversal of 95095664157312 is 21375146659059.

95095664157312 is a `hidden beast` number, since 9 + 5 + 0 + 9 + 5 + 6 + 6 + 41 + 573 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 95095664157312.

It is not an unprimeable number, because it can be changed into a prime (95095664157311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15273862 + ... + 20578682.

It is an arithmetic number, because the mean of its divisors is an integer number (572880989835).

Almost surely, 2^{95095664157312} 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 95095664157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183321916747200).

95095664157312 is an abundant number, since it is smaller than the sum of its proper divisors (271548169337088).

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

95095664157312 is a wasteful number, since it uses less digits than its factorization.

95095664157312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5304886 (or 5304865 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 95095664157312 in words is "ninety-five trillion, ninety-five billion, six hundred sixty-four million, one hundred fifty-seven thousand, three hundred twelve".