199357699457280 has 3456 divisors, whose sum is σ = 865982362484736. Its totient is φ = 38626689024000.

The previous prime is 199357699457233. The next prime is 199357699457281. The reversal of 199357699457280 is 82754996753991.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 199357699457193 and 199357699457202.

It is not an unprimeable number, because it can be changed into a prime (199357699457281) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 263352310662 + ... + 263352311418.

It is an arithmetic number, because the mean of its divisors is an integer number (250573600256).

It is a 1-persistent number, because it is pandigital, but 2⋅199357699457280 = 398715398914560 is not.

Almost surely, 2^{199357699457280} is an apocalyptic number.

199357699457280 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 199357699457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432991181242368).

199357699457280 is an abundant number, since it is smaller than the sum of its proper divisors (666624663027456).

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

199357699457280 is a wasteful number, since it uses less digits than its factorization.

199357699457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 9258883200, while the sum is 84.

The spelling of 199357699457280 in words is "one hundred ninety-nine trillion, three hundred fifty-seven billion, six hundred ninety-nine million, four hundred fifty-seven thousand, two hundred eighty".