85620431840320 has 224 divisors, whose sum is σ = 221826927460320. Its totient is φ = 31289111347200.

The previous prime is 85620431840287. The next prime is 85620431840327. The reversal of 85620431840320 is 2304813402658.

It can be written as a sum of positive squares in 16 ways, for example, as 41632020434944 + 43988411405376 = 6452288^2 + 6632376^2 .

It is not an unprimeable number, because it can be changed into a prime (85620431840327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329396166 + ... + 329655994.

It is an arithmetic number, because the mean of its divisors is an integer number (990298783305).

Almost surely, 2^{85620431840320} is an apocalyptic number.

85620431840320 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 85620431840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110913463730160).

85620431840320 is an abundant number, since it is smaller than the sum of its proper divisors (136206495620000).

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

85620431840320 is a wasteful number, since it uses less digits than its factorization.

85620431840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260673 (or 260663 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 85620431840320 in words is "eighty-five trillion, six hundred twenty billion, four hundred thirty-one million, eight hundred forty thousand, three hundred twenty".