95759206560 has 288 divisors, whose sum is σ = 353731250880. Its totient is φ = 24191405568.

The previous prime is 95759206559. The next prime is 95759206567. The reversal of 95759206560 is 6560295759.

It is a happy number.

95759206560 is a `hidden beast` number, since 9 + 5 + 7 + 59 + 20 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 95759206497 and 95759206506.

It is not an unprimeable number, because it can be changed into a prime (95759206567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1528819 + ... + 1590221.

It is an arithmetic number, because the mean of its divisors is an integer number (1228233510).

Almost surely, 2^95759206560 is an apocalyptic number.

95759206560 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 95759206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176865625440).

95759206560 is an abundant number, since it is smaller than the sum of its proper divisors (257972044320).

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

95759206560 is a wasteful number, since it uses less digits than its factorization.

95759206560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61465 (or 61432 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 95759206560 in words is "ninety-five billion, seven hundred fifty-nine million, two hundred six thousand, five hundred sixty".