85952606760 has 128 divisors (see below), whose sum is σ = 286782048000. Its totient is φ = 22898827008.

The previous prime is 85952606743. The next prime is 85952606767. The reversal of 85952606760 is 6760625958.

It is a happy number.

85952606760 is a `hidden beast` number, since 8 + 59 + 526 + 0 + 6 + 7 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 85952606697 and 85952606706.

It is not an unprimeable number, because it can be changed into a prime (85952606767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110606 + ... + 1185474.

It is an arithmetic number, because the mean of its divisors is an integer number (2240484750).

Almost surely, 2^85952606760 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 85952606760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143391024000).

85952606760 is an abundant number, since it is smaller than the sum of its proper divisors (200829441240).

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

85952606760 is a wasteful number, since it uses less digits than its factorization.

85952606760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75952 (or 75942 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 85952606760 in words is "eighty-five billion, nine hundred fifty-two million, six hundred six thousand, seven hundred sixty".