95528938570560 has 672 divisors, whose sum is σ = 381443605920000. Its totient is φ = 21686710763520.

The previous prime is 95528938570433. The next prime is 95528938570579. The reversal of 95528938570560 is 6507583982559.

95528938570560 is a `hidden beast` number, since 9 + 5 + 5 + 2 + 8 + 9 + 3 + 8 + 57 + 0 + 560 = 666.

95528938570560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 106727766 + ... + 107619114.

Almost surely, 2^{95528938570560} is an apocalyptic number.

95528938570560 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 95528938570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190721802960000).

95528938570560 is an abundant number, since it is smaller than the sum of its proper divisors (285914667349440).

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

95528938570560 is a wasteful number, since it uses less digits than its factorization.

95528938570560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891599 (or 891586 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 95528938570560 in words is "ninety-five trillion, five hundred twenty-eight billion, nine hundred thirty-eight million, five hundred seventy thousand, five hundred sixty".