95182536960 has 864 divisors, whose sum is σ = 388554915840. Its totient is φ = 21065121792.

The previous prime is 95182536949. The next prime is 95182536983. The reversal of 95182536960 is 6963528159.

It is a happy number.

95182536960 is a `hidden beast` number, since 9 + 5 + 18 + 2 + 536 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 95182536897 and 95182536906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 426827409 + ... + 426827631.

Almost surely, 2^95182536960 is an apocalyptic number.

95182536960 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 95182536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194277457920).

95182536960 is an abundant number, since it is smaller than the sum of its proper divisors (293372378880).

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

95182536960 is a wasteful number, since it uses less digits than its factorization.

95182536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 95182536960 in words is "ninety-five billion, one hundred eighty-two million, five hundred thirty-six thousand, nine hundred sixty".