199224852480 has 576 divisors, whose sum is σ = 722256393600. Its totient is φ = 52744421376.

The previous prime is 199224852479. The next prime is 199224852511. The reversal of 199224852480 is 84258422991.

199224852480 is a `hidden beast` number, since 1 + 9 + 92 + 24 + 8 + 52 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 31 ways as a sum of consecutive naturals, for example, 1433272251 + ... + 1433272389.

It is an arithmetic number, because the mean of its divisors is an integer number (1253917350).

Almost surely, 2^199224852480 is an apocalyptic number.

199224852480 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 199224852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361128196800).

199224852480 is an abundant number, since it is smaller than the sum of its proper divisors (523031541120).

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

199224852480 is an frugal number, since it uses more digits than its factorization.

199224852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 199224852480 in words is "one hundred ninety-nine billion, two hundred twenty-four million, eight hundred fifty-two thousand, four hundred eighty".