95434506720 has 384 divisors, whose sum is σ = 383076449280. Its totient is φ = 21737134080.

The previous prime is 95434506707. The next prime is 95434506731. The reversal of 95434506720 is 2760543459.

95434506720 is a `hidden beast` number, since 9 + 543 + 45 + 0 + 67 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8854935 + ... + 8865705.

It is an arithmetic number, because the mean of its divisors is an integer number (997594920).

Almost surely, 2^95434506720 is an apocalyptic number.

95434506720 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 95434506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191538224640).

95434506720 is an abundant number, since it is smaller than the sum of its proper divisors (287641942560).

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

95434506720 is a wasteful number, since it uses less digits than its factorization.

95434506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11095 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 95434506720 in words is "ninety-five billion, four hundred thirty-four million, five hundred six thousand, seven hundred twenty".