199232838720 has 504 divisors, whose sum is σ = 733701758400. Its totient is φ = 49605212160.

The previous prime is 199232838709. The next prime is 199232838731. The reversal of 199232838720 is 27838232991.

199232838720 is a `hidden beast` number, since 1 + 9 + 9 + 232 + 8 + 387 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (199232838709) and next prime (199232838731).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73815931 + ... + 73818629.

Almost surely, 2^199232838720 is an apocalyptic number.

199232838720 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 199232838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366850879200).

199232838720 is an abundant number, since it is smaller than the sum of its proper divisors (534468919680).

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

199232838720 is a wasteful number, since it uses less digits than its factorization.

199232838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 199232838720 in words is "one hundred ninety-nine billion, two hundred thirty-two million, eight hundred thirty-eight thousand, seven hundred twenty".