95191160064 has 1080 divisors, whose sum is σ = 366461417952. Its totient is φ = 21621841920.

The previous prime is 95191160063. The next prime is 95191160069. The reversal of 95191160064 is 46006119159.

It is a super-2 number, since 2×95191160064² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 95191159998 and 95191160025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95191160063) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5010061047 + ... + 5010061065.

Almost surely, 2^95191160064 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 95191160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183230708976).

95191160064 is an abundant number, since it is smaller than the sum of its proper divisors (271270257888).

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

95191160064 is a wasteful number, since it uses less digits than its factorization.

95191160064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

It can be divided in two parts, 95191 and 160064, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 95191160064 in words is "ninety-five billion, one hundred ninety-one million, one hundred sixty thousand, sixty-four".