199242408960 has 704 divisors, whose sum is σ = 817489920000. Its totient is φ = 45076414464.

The previous prime is 199242408923. The next prime is 199242408971. The reversal of 199242408960 is 69804242991.

199242408960 is a `hidden beast` number, since 199 + 2 + 42 + 408 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 199242408897 and 199242408906.

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, 99670041 + ... + 99672039.

Almost surely, 2^199242408960 is an apocalyptic number.

199242408960 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 199242408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408744960000).

199242408960 is an abundant number, since it is smaller than the sum of its proper divisors (618247511040).

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

199242408960 is a wasteful number, since it uses less digits than its factorization.

199242408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 199242408960 in words is "one hundred ninety-nine billion, two hundred forty-two million, four hundred eight thousand, nine hundred sixty".