85305379600 has 240 divisors, whose sum is σ = 241180063488. Its totient is φ = 28383160320.

The previous prime is 85305379583. The next prime is 85305379631. The reversal of 85305379600 is 697350358.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52109982 + ... + 52111618.

Almost surely, 2^85305379600 is an apocalyptic number.

85305379600 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 85305379600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120590031744).

85305379600 is an abundant number, since it is smaller than the sum of its proper divisors (155874683888).

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

85305379600 is a wasteful number, since it uses less digits than its factorization.

85305379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 85305379600 in words is "eighty-five billion, three hundred five million, three hundred seventy-nine thousand, six hundred".