95724895046016 has 128 divisors (see below), whose sum is σ = 261618822236160. Its totient is φ = 30989152696320.

The previous prime is 95724895045961. The next prime is 95724895046057. The reversal of 95724895046016 is 61064059842759.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1613281 + ... + 13930271.

It is an arithmetic number, because the mean of its divisors is an integer number (2043897048720).

Almost surely, 2^{95724895046016} is an apocalyptic number.

95724895046016 is a gapful number since it is divisible by the number (96) 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 95724895046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130809411118080).

95724895046016 is an abundant number, since it is smaller than the sum of its proper divisors (165893927190144).

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

95724895046016 is a wasteful number, since it uses less digits than its factorization.

95724895046016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12317592 (or 12317580 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 66.

The spelling of 95724895046016 in words is "ninety-five trillion, seven hundred twenty-four billion, eight hundred ninety-five million, forty-six thousand, sixteen".