95416846560 has 1152 divisors, whose sum is σ = 419406833664. Its totient is φ = 19986186240.

The previous prime is 95416846531. The next prime is 95416846589. The reversal of 95416846560 is 6564861459.

95416846560 is a `hidden beast` number, since 9 + 541 + 6 + 8 + 46 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (95416846531) and next prime (95416846589).

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

It is a junction number, because it is equal to n+sod(n) for n = 95416846497 and 95416846506.

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, 189695269 + ... + 189695771.

It is an arithmetic number, because the mean of its divisors is an integer number (364068432).

Almost surely, 2^95416846560 is an apocalyptic number.

95416846560 is a gapful number since it is divisible by the number (90) 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 95416846560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209703416832).

95416846560 is an abundant number, since it is smaller than the sum of its proper divisors (323989987104).

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

95416846560 is a wasteful number, since it uses less digits than its factorization.

95416846560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 95416846560 in words is "ninety-five billion, four hundred sixteen million, eight hundred forty-six thousand, five hundred sixty".