95891938560 has 864 divisors, whose sum is σ = 390683946240. Its totient is φ = 22213509120.

The previous prime is 95891938547. The next prime is 95891938567. The reversal of 95891938560 is 6583919859.

95891938560 is a `hidden beast` number, since 9 + 58 + 9 + 19 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95891938567) by changing a digit.

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, 96179982 + ... + 96180978.

Almost surely, 2^95891938560 is an apocalyptic number.

95891938560 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 95891938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195341973120).

95891938560 is an abundant number, since it is smaller than the sum of its proper divisors (294792007680).

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

95891938560 is a wasteful number, since it uses less digits than its factorization.

95891938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 95891938560 in words is "ninety-five billion, eight hundred ninety-one million, nine hundred thirty-eight thousand, five hundred sixty".