95705205120 has 384 divisors, whose sum is σ = 385737431040. Its totient is φ = 21409615872.

The previous prime is 95705205119. The next prime is 95705205149. The reversal of 95705205120 is 2150250759.

95705205120 is a `hidden beast` number, since 9 + 5 + 7 + 0 + 520 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×95705205120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1869789 + ... + 1920291.

It is an arithmetic number, because the mean of its divisors is an integer number (1004524560).

Almost surely, 2^95705205120 is an apocalyptic number.

95705205120 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 95705205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192868715520).

95705205120 is an abundant number, since it is smaller than the sum of its proper divisors (290032225920).

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

95705205120 is a wasteful number, since it uses less digits than its factorization.

95705205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50582 (or 50567 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

Adding to 95705205120 its reverse (2150250759), we get a palindrome (97855455879).

The spelling of 95705205120 in words is "ninety-five billion, seven hundred five million, two hundred five thousand, one hundred twenty".