95864724480 has 704 divisors, whose sum is σ = 374378941440. Its totient is φ = 20437794816.

The previous prime is 95864724421. The next prime is 95864724491. The reversal of 95864724480 is 8442746859.

It is a super-2 number, since 2×95864724480² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 95864724480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327183214 + ... + 327183506.

Almost surely, 2^95864724480 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 95864724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187189470720).

95864724480 is an abundant number, since it is smaller than the sum of its proper divisors (278514216960).

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

95864724480 is a wasteful number, since it uses less digits than its factorization.

95864724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 95864724480 in words is "ninety-five billion, eight hundred sixty-four million, seven hundred twenty-four thousand, four hundred eighty".