95617365480 has 768 divisors, whose sum is σ = 420166656000. Its totient is φ = 18278701056.

The previous prime is 95617365449. The next prime is 95617365527. The reversal of 95617365480 is 8456371659.

95617365480 is a `hidden beast` number, since 9 + 5 + 61 + 7 + 36 + 548 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14312781 + ... + 14319459.

It is an arithmetic number, because the mean of its divisors is an integer number (547092000).

Almost surely, 2^95617365480 is an apocalyptic number.

95617365480 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 95617365480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210083328000).

95617365480 is an abundant number, since it is smaller than the sum of its proper divisors (324549290520).

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

95617365480 is a wasteful number, since it uses less digits than its factorization.

95617365480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 95617365480 in words is "ninety-five billion, six hundred seventeen million, three hundred sixty-five thousand, four hundred eighty".