85145706576 has 320 divisors, whose sum is σ = 289688125440. Its totient is φ = 23431265280.

The previous prime is 85145706559. The next prime is 85145706587. The reversal of 85145706576 is 67560754158.

It is a happy number.

85145706576 is a `hidden beast` number, since 8 + 5 + 1 + 4 + 570 + 65 + 7 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20902876 + ... + 20906948.

It is an arithmetic number, because the mean of its divisors is an integer number (905275392).

Almost surely, 2^85145706576 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 85145706576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144844062720).

85145706576 is an abundant number, since it is smaller than the sum of its proper divisors (204542418864).

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

85145706576 is a wasteful number, since it uses less digits than its factorization.

85145706576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4351 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 85145706576 in words is "eighty-five billion, one hundred forty-five million, seven hundred six thousand, five hundred seventy-six".