85962606912 has 896 divisors, whose sum is σ = 334234414080. Its totient is φ = 21284093952.

The previous prime is 85962606857. The next prime is 85962606913. The reversal of 85962606912 is 21960626958.

It is a happy number.

85962606912 is a `hidden beast` number, since 8 + 5 + 9 + 626 + 0 + 6 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85962606913) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 216530298 + ... + 216530694.

It is an arithmetic number, because the mean of its divisors is an integer number (373029480).

Almost surely, 2^85962606912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85962606912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167117207040).

85962606912 is an abundant number, since it is smaller than the sum of its proper divisors (248271807168).

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

85962606912 is a wasteful number, since it uses less digits than its factorization.

85962606912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 85962606912 in words is "eighty-five billion, nine hundred sixty-two million, six hundred six thousand, nine hundred twelve".