85101255960 has 256 divisors, whose sum is σ = 293833267200. Its totient is φ = 19315126272.

The previous prime is 85101255947. The next prime is 85101255983. The reversal of 85101255960 is 6955210158.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125703142 + ... + 125703818.

It is an arithmetic number, because the mean of its divisors is an integer number (1147786200).

Almost surely, 2^85101255960 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 85101255960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146916633600).

85101255960 is an abundant number, since it is smaller than the sum of its proper divisors (208732011240).

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

85101255960 is a wasteful number, since it uses less digits than its factorization.

85101255960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 42.

The spelling of 85101255960 in words is "eighty-five billion, one hundred one million, two hundred fifty-five thousand, nine hundred sixty".