85762732608 has 896 divisors, whose sum is σ = 326316441600. Its totient is φ = 21767823360.

The previous prime is 85762732553. The next prime is 85762732621. The reversal of 85762732608 is 80623726758.

85762732608 is a `hidden beast` number, since 8 + 5 + 7 + 6 + 27 + 3 + 2 + 608 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 316467513 + ... + 316467783.

Almost surely, 2^85762732608 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 85762732608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163158220800).

85762732608 is an abundant number, since it is smaller than the sum of its proper divisors (240553708992).

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

85762732608 is a wasteful number, since it uses less digits than its factorization.

85762732608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 85762732608 in words is "eighty-five billion, seven hundred sixty-two million, seven hundred thirty-two thousand, six hundred eight".