199560456480 has 1536 divisors, whose sum is σ = 869518540800. Its totient is φ = 37225267200.

The previous prime is 199560456451. The next prime is 199560456503. The reversal of 199560456480 is 84654065991.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 199560456480.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1937480109 + ... + 1937480211.

It is an arithmetic number, because the mean of its divisors is an integer number (566092800).

Almost surely, 2^199560456480 is an apocalyptic number.

199560456480 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 199560456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434759270400).

199560456480 is an abundant number, since it is smaller than the sum of its proper divisors (669958084320).

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

199560456480 is a wasteful number, since it uses less digits than its factorization.

199560456480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 199560456480 in words is "one hundred ninety-nine billion, five hundred sixty million, four hundred fifty-six thousand, four hundred eighty".