85813402320 has 200 divisors, whose sum is σ = 300682770696. Its totient is φ = 22680870912.

The previous prime is 85813402313. The next prime is 85813402327. The reversal of 85813402320 is 2320431858.

85813402320 is a `hidden beast` number, since 8 + 5 + 81 + 340 + 232 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85813402313) and next prime (85813402327).

It can be written as a sum of positive squares in 4 ways, for example, as 6701714496 + 79111687824 = 81864^2 + 281268^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85813402327) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 673644 + ... + 790836.

Almost surely, 2^85813402320 is an apocalyptic number.

85813402320 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 85813402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150341385348).

85813402320 is an abundant number, since it is smaller than the sum of its proper divisors (214869368376).

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

85813402320 is a wasteful number, since it uses less digits than its factorization.

85813402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117331 (or 117316 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 85813402320 in words is "eighty-five billion, eight hundred thirteen million, four hundred two thousand, three hundred twenty".