85061877120 has 864 divisors, whose sum is σ = 336237108480. Its totient is φ = 19798732800.

The previous prime is 85061877073. The next prime is 85061877137. The reversal of 85061877120 is 2177816058.

It is a happy number.

85061877120 is a `hidden beast` number, since 8 + 5 + 0 + 618 + 7 + 7 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 107 ways as a sum of consecutive naturals, for example, 669778497 + ... + 669778623.

It is an arithmetic number, because the mean of its divisors is an integer number (389163320).

Almost surely, 2^85061877120 is an apocalyptic number.

85061877120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85061877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168118554240).

85061877120 is an abundant number, since it is smaller than the sum of its proper divisors (251175231360).

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

85061877120 is a wasteful number, since it uses less digits than its factorization.

85061877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 85061877120 in words is "eighty-five billion, sixty-one million, eight hundred seventy-seven thousand, one hundred twenty".