199631937120 has 1152 divisors, whose sum is σ = 848039528448. Its totient is φ = 38539100160.

The previous prime is 199631937101. The next prime is 199631937137. The reversal of 199631937120 is 21739136991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 345982272 + ... + 345982848.

It is an arithmetic number, because the mean of its divisors is an integer number (736145424).

Almost surely, 2^199631937120 is an apocalyptic number.

199631937120 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 199631937120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424019764224).

199631937120 is an abundant number, since it is smaller than the sum of its proper divisors (648407591328).

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

199631937120 is a wasteful number, since it uses less digits than its factorization.

199631937120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 51.

The spelling of 199631937120 in words is "one hundred ninety-nine billion, six hundred thirty-one million, nine hundred thirty-seven thousand, one hundred twenty".