85941407200 has 144 divisors (see below), whose sum is σ = 236770626960. Its totient is φ = 30173696000.

The previous prime is 85941407191. The next prime is 85941407281. The reversal of 85941407200 is 270414958.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86820 + ... + 423580.

It is an arithmetic number, because the mean of its divisors is an integer number (1644240465).

Almost surely, 2^85941407200 is an apocalyptic number.

85941407200 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 85941407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385313480).

85941407200 is an abundant number, since it is smaller than the sum of its proper divisors (150829219760).

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

85941407200 is a wasteful number, since it uses less digits than its factorization.

85941407200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336821 (or 336808 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 85941407200 in words is "eighty-five billion, nine hundred forty-one million, four hundred seven thousand, two hundred".