200085073920 has 624 divisors, whose sum is σ = 732023772480. Its totient is φ = 50451185664.

The previous prime is 200085073883. The next prime is 200085073931. The reversal of 200085073920 is 29370580002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462090024 + ... + 462090456.

It is an arithmetic number, because the mean of its divisors is an integer number (1173115020).

Almost surely, 2^200085073920 is an apocalyptic number.

200085073920 is a gapful number since it is divisible by the number (20) 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 200085073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366011886240).

200085073920 is an abundant number, since it is smaller than the sum of its proper divisors (531938698560).

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

200085073920 is a wasteful number, since it uses less digits than its factorization.

200085073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 200085073920 in words is "two hundred billion, eighty-five million, seventy-three thousand, nine hundred twenty".