85828040320 has 256 divisors, whose sum is σ = 237042288000. Its totient is φ = 29388718080.

The previous prime is 85828040297. The next prime is 85828040329. The reversal of 85828040320 is 2304082858.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (85828040329) 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, 23138626 + ... + 23142334.

Almost surely, 2^85828040320 is an apocalyptic number.

85828040320 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 85828040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118521144000).

85828040320 is an abundant number, since it is smaller than the sum of its proper divisors (151214247680).

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

85828040320 is a wasteful number, since it uses less digits than its factorization.

85828040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 85828040320 in words is "eighty-five billion, eight hundred twenty-eight million, forty thousand, three hundred twenty".