85000001600 has 42 divisors (see below), whose sum is σ = 209153132874. Its totient is φ = 34000000000.

The previous prime is 85000001557. The next prime is 85000001633. The reversal of 85000001600 is 610000058.

It can be written as a sum of positive squares in 3 ways, for example, as 705008704 + 84294992896 = 26552^2 + 290336^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26560901 + ... + 26564100.

It is an arithmetic number, because the mean of its divisors is an integer number (4979836497).

Almost surely, 2^85000001600 is an apocalyptic number.

85000001600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85000001600 is an abundant number, since it is smaller than the sum of its proper divisors (124153131274).

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

85000001600 is a wasteful number, since it uses less digits than its factorization.

85000001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53125023 (or 53125008 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 85000001600 its reverse (610000058), we get a palindrome (85610001658).

The spelling of 85000001600 in words is "eighty-five billion, one thousand, six hundred".