199504680480 has 384 divisors, whose sum is σ = 844963176960. Its totient is φ = 42918543360.

The previous prime is 199504680461. The next prime is 199504680511. The reversal of 199504680480 is 84086405991.

199504680480 is a `hidden beast` number, since 1 + 99 + 50 + 468 + 0 + 48 + 0 = 666.

199504680480 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 320040 + ... + 708120.

It is an arithmetic number, because the mean of its divisors is an integer number (2200424940).

Almost surely, 2^199504680480 is an apocalyptic number.

199504680480 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 199504680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422481588480).

199504680480 is an abundant number, since it is smaller than the sum of its proper divisors (645458496480).

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

199504680480 is a wasteful number, since it uses less digits than its factorization.

199504680480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388129 (or 388115 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 199504680480 in words is "one hundred ninety-nine billion, five hundred four million, six hundred eighty thousand, four hundred eighty".