85983206400 has 1056 divisors, whose sum is σ = 388905108480. Its totient is φ = 18128240640.

The previous prime is 85983206383. The next prime is 85983206401. The reversal of 85983206400 is 460238958.

It is a super-2 number, since 2×85983206400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85983206401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62898517 + ... + 62899883.

Almost surely, 2^85983206400 is an apocalyptic number.

85983206400 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 85983206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194452554240).

85983206400 is an abundant number, since it is smaller than the sum of its proper divisors (302921902080).

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

85983206400 is a wasteful number, since it uses less digits than its factorization.

85983206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 85983206400 in words is "eighty-five billion, nine hundred eighty-three million, two hundred six thousand, four hundred".