85971679776 has 48 divisors (see below), whose sum is σ = 250750735200. Its totient is φ = 28657226304.

The previous prime is 85971679753. The next prime is 85971679853. The reversal of 85971679776 is 67797617958.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×85971679776² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49751266 + ... + 49752993.

It is an arithmetic number, because the mean of its divisors is an integer number (5223973650).

Almost surely, 2^85971679776 is an apocalyptic number.

It is an amenable number.

85971679776 is an abundant number, since it is smaller than the sum of its proper divisors (164779055424).

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

85971679776 is a wasteful number, since it uses less digits than its factorization.

85971679776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99504278 (or 99504264 counting only the distinct ones).

The product of its digits is 280052640, while the sum is 72.

The spelling of 85971679776 in words is "eighty-five billion, nine hundred seventy-one million, six hundred seventy-nine thousand, seven hundred seventy-six".