199103299956720 has 240 divisors, whose sum is σ = 675828673884000. Its totient is φ = 52525065240576.

The previous prime is 199103299956647. The next prime is 199103299956721. The reversal of 199103299956720 is 27659992301991.

199103299956720 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 0 + 32 + 9 + 9 + 9 + 567 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199103299956721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168213531 + ... + 169393029.

It is an arithmetic number, because the mean of its divisors is an integer number (2815952807850).

Almost surely, 2^{199103299956720} is an apocalyptic number.

199103299956720 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 199103299956720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337914336942000).

199103299956720 is an abundant number, since it is smaller than the sum of its proper divisors (476725373927280).

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

199103299956720 is a wasteful number, since it uses less digits than its factorization.

199103299956720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182032 (or 1182023 counting only the distinct ones).

The product of its (nonzero) digits is 148803480, while the sum is 72.

The spelling of 199103299956720 in words is "one hundred ninety-nine trillion, one hundred three billion, two hundred ninety-nine million, nine hundred fifty-six thousand, seven hundred twenty".