85766151936 has 72 divisors (see below), whose sum is σ = 228413198160. Its totient is φ = 28569911296.

The previous prime is 85766151923. The next prime is 85766151973. The reversal of 85766151936 is 63915166758.

It is a congruent number.

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, 1156750 + ... + 1228658.

It is an arithmetic number, because the mean of its divisors is an integer number (3172405530).

Almost surely, 2^85766151936 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 85766151936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114206599080).

85766151936 is an abundant number, since it is smaller than the sum of its proper divisors (142647046224).

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

85766151936 is a wasteful number, since it uses less digits than its factorization.

85766151936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73481 (or 73467 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 57.

The spelling of 85766151936 in words is "eighty-five billion, seven hundred sixty-six million, one hundred fifty-one thousand, nine hundred thirty-six".