85251078720 has 896 divisors, whose sum is σ = 336265113600. Its totient is φ = 20233027584.

The previous prime is 85251078719. The next prime is 85251078767. The reversal of 85251078720 is 2787015258.

85251078720 is a `hidden beast` number, since 8 + 52 + 510 + 7 + 87 + 2 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 252970392 + ... + 252970728.

Almost surely, 2^85251078720 is an apocalyptic number.

85251078720 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 85251078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168132556800).

85251078720 is an abundant number, since it is smaller than the sum of its proper divisors (251014034880).

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

85251078720 is a wasteful number, since it uses less digits than its factorization.

85251078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 85251078720 in words is "eighty-five billion, two hundred fifty-one million, seventy-eight thousand, seven hundred twenty".