95271676416 has 480 divisors, whose sum is σ = 328640632320. Its totient is φ = 26990309376.

The previous prime is 95271676349. The next prime is 95271676417. The reversal of 95271676416 is 61467617259.

95271676416 is a `hidden beast` number, since 9 + 527 + 1 + 6 + 76 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (95271676417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121056375 + ... + 121057161.

It is an arithmetic number, because the mean of its divisors is an integer number (684667984).

Almost surely, 2^95271676416 is an apocalyptic number.

95271676416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95271676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164320316160).

95271676416 is an abundant number, since it is smaller than the sum of its proper divisors (233368955904).

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

95271676416 is an equidigital number, since it uses as much as digits as its factorization.

95271676416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 938 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 95271676416 in words is "ninety-five billion, two hundred seventy-one million, six hundred seventy-six thousand, four hundred sixteen".