95803568640 has 320 divisors, whose sum is σ = 366482793600. Its totient is φ = 23582195712.

The previous prime is 95803568591. The next prime is 95803568671. The reversal of 95803568640 is 4686530859.

It is a happy number.

95803568640 is a `hidden beast` number, since 9 + 580 + 3 + 56 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845251 + ... + 951869.

It is an arithmetic number, because the mean of its divisors is an integer number (1145258730).

Almost surely, 2^95803568640 is an apocalyptic number.

95803568640 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 95803568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183241396800).

95803568640 is an abundant number, since it is smaller than the sum of its proper divisors (270679224960).

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

95803568640 is a wasteful number, since it uses less digits than its factorization.

95803568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106664 (or 106642 counting only the distinct ones).

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

The spelling of 95803568640 in words is "ninety-five billion, eight hundred three million, five hundred sixty-eight thousand, six hundred forty".