85375289790 has 512 divisors, whose sum is σ = 290013696000. Its totient is φ = 17421336576.

The previous prime is 85375289777. The next prime is 85375289803. The reversal of 85375289790 is 9798257358.

85375289790 is a `hidden beast` number, since 8 + 5 + 37 + 528 + 9 + 79 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85375289777) and next prime (85375289803).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 54973654 + ... + 54975206.

It is an arithmetic number, because the mean of its divisors is an integer number (566433000).

Almost surely, 2^85375289790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85375289790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145006848000).

85375289790 is an abundant number, since it is smaller than the sum of its proper divisors (204638406210).

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

85375289790 is a wasteful number, since it uses less digits than its factorization.

85375289790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 85375289790 in words is "eighty-five billion, three hundred seventy-five million, two hundred eighty-nine thousand, seven hundred ninety".