200424539900160 has 864 divisors, whose sum is σ = 722976928128000. Its totient is φ = 51200823066624.

The previous prime is 200424539900119. The next prime is 200424539900183. The reversal of 200424539900160 is 61009935424002.

200424539900160 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 24 + 539 + 90 + 0 + 1 + 6 + 0 = 666.

200424539900160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28644349782 + ... + 28644356778.

It is an arithmetic number, because the mean of its divisors is an integer number (836778852000).

Almost surely, 2^{200424539900160} is an apocalyptic number.

200424539900160 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 200424539900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361488464064000).

200424539900160 is an abundant number, since it is smaller than the sum of its proper divisors (522552388227840).

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

200424539900160 is a wasteful number, since it uses less digits than its factorization.

200424539900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7711 (or 7694 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 200424539900160 in words is "two hundred trillion, four hundred twenty-four billion, five hundred thirty-nine million, nine hundred thousand, one hundred sixty".