199960810400 has 288 divisors, whose sum is σ = 532536415488. Its totient is φ = 72879206400.

The previous prime is 199960810381. The next prime is 199960810403. The reversal of 199960810400 is 4018069991.

It is not an unprimeable number, because it can be changed into a prime (199960810403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431880569 + ... + 431881031.

It is an arithmetic number, because the mean of its divisors is an integer number (1849084776).

Almost surely, 2^199960810400 is an apocalyptic number.

199960810400 is a gapful number since it is divisible by the number (10) 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 199960810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266268207744).

199960810400 is an abundant number, since it is smaller than the sum of its proper divisors (332575605088).

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

199960810400 is a wasteful number, since it uses less digits than its factorization.

199960810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 47.

The spelling of 199960810400 in words is "one hundred ninety-nine billion, nine hundred sixty million, eight hundred ten thousand, four hundred".