96085006871616 has 567 divisors, whose sum is σ = 332834516164917. Its totient is φ = 27440155330560.

The previous prime is 96085006871569. The next prime is 96085006871621. The reversal of 96085006871616 is 61617860058069.

The square root of 96085006871616 is 9802296.

It is a perfect power (a square), and thus also a powerful number.

96085006871616 is a `hidden beast` number, since 9 + 6 + 0 + 8 + 5 + 0 + 0 + 6 + 8 + 7 + 1 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60234611121216 + 35850395750400 = 7761096^2 + 5987520^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 44463213576 + ... + 44463215736.

Almost surely, 2^{96085006871616} is an apocalyptic number.

96085006871616 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

96085006871616 is the 9802296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96085006871616

96085006871616 is an abundant number, since it is smaller than the sum of its proper divisors (236749509293301).

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

96085006871616 is an frugal number, since it uses more digits than its factorization.

96085006871616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 96085006871616 in words is "ninety-six trillion, eighty-five billion, six million, eight hundred seventy-one thousand, six hundred sixteen".