199131004800 has 3072 divisors, whose sum is σ = 997269504000. Its totient is φ = 37623398400.

The previous prime is 199131004771. The next prime is 199131004811. The reversal of 199131004800 is 8400131991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4630953579 + ... + 4630953621.

It is an arithmetic number, because the mean of its divisors is an integer number (324632000).

Almost surely, 2^199131004800 is an apocalyptic number.

199131004800 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 199131004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498634752000).

199131004800 is an abundant number, since it is smaller than the sum of its proper divisors (798138499200).

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

199131004800 is a wasteful number, since it uses less digits than its factorization.

199131004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 199131004800 in words is "one hundred ninety-nine billion, one hundred thirty-one million, four thousand, eight hundred".