85030816920 has 768 divisors, whose sum is σ = 328568002560. Its totient is φ = 17206345728.

The previous prime is 85030816909. The next prime is 85030816931. The reversal of 85030816920 is 2961803058.

It is an interprime number because it is at equal distance from previous prime (85030816909) and next prime (85030816931).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 541597482 + ... + 541597638.

It is an arithmetic number, because the mean of its divisors is an integer number (427822920).

Almost surely, 2^85030816920 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 85030816920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164284001280).

85030816920 is an abundant number, since it is smaller than the sum of its proper divisors (243537185640).

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

85030816920 is a wasteful number, since it uses less digits than its factorization.

85030816920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 85030816920 in words is "eighty-five billion, thirty million, eight hundred sixteen thousand, nine hundred twenty".