199130452920 has 256 divisors, whose sum is σ = 759428812800. Its totient is φ = 45465338880.

The previous prime is 199130452903. The next prime is 199130452967. The reversal of 199130452920 is 29254031991.

199130452920 is a `hidden beast` number, since 1 + 9 + 91 + 30 + 4 + 529 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 7069665 + ... + 7097775.

It is an arithmetic number, because the mean of its divisors is an integer number (2966518800).

Almost surely, 2^199130452920 is an apocalyptic number.

199130452920 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 199130452920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379714406400).

199130452920 is an abundant number, since it is smaller than the sum of its proper divisors (560298359880).

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

199130452920 is a wasteful number, since it uses less digits than its factorization.

199130452920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29075 (or 29065 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 199130452920 in words is "one hundred ninety-nine billion, one hundred thirty million, four hundred fifty-two thousand, nine hundred twenty".