85886776140 has 192 divisors, whose sum is σ = 273132034560. Its totient is φ = 19980380160.

The previous prime is 85886776139. The next prime is 85886776153. The reversal of 85886776140 is 4167768858.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1758571 + ... + 1806749.

It is an arithmetic number, because the mean of its divisors is an integer number (1422562680).

Almost surely, 2^85886776140 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 85886776140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136566017280).

85886776140 is an abundant number, since it is smaller than the sum of its proper divisors (187245258420).

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

85886776140 is a wasteful number, since it uses less digits than its factorization.

85886776140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48312 (or 48310 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 85886776140 in words is "eighty-five billion, eight hundred eighty-six million, seven hundred seventy-six thousand, one hundred forty".