85947165887616 has 1536 divisors, whose sum is σ = 305996866560000. Its totient is φ = 23632789340160.

The previous prime is 85947165887593. The next prime is 85947165887651. The reversal of 85947165887616 is 61678856174958.

85947165887616 is a `hidden beast` number, since 8 + 5 + 9 + 4 + 7 + 16 + 588 + 7 + 6 + 16 = 666.

It is a super-2 number, since 2×85947165887616² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24149244045 + ... + 24149247603.

It is an arithmetic number, because the mean of its divisors is an integer number (199216710000).

Almost surely, 2^{85947165887616} is an apocalyptic number.

85947165887616 is a gapful number since it is divisible by the number (86) 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 85947165887616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152998433280000).

85947165887616 is an abundant number, since it is smaller than the sum of its proper divisors (220049700672384).

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

85947165887616 is a wasteful number, since it uses less digits than its factorization.

85947165887616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3714 counting only the distinct ones).

The product of its digits is 4877107200, while the sum is 81.

The spelling of 85947165887616 in words is "eighty-five trillion, nine hundred forty-seven billion, one hundred sixty-five million, eight hundred eighty-seven thousand, six hundred sixteen".