199101127680 has 2816 divisors, whose sum is σ = 990420480000. Its totient is φ = 37456183296.

The previous prime is 199101127657. The next prime is 199101127717. The reversal of 199101127680 is 86721101991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10479006711 + ... + 10479006729.

Almost surely, 2^199101127680 is an apocalyptic number.

199101127680 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 199101127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495210240000).

199101127680 is an abundant number, since it is smaller than the sum of its proper divisors (791319352320).

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

199101127680 is a wasteful number, since it uses less digits than its factorization.

199101127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 199101127680 in words is "one hundred ninety-nine billion, one hundred one million, one hundred twenty-seven thousand, six hundred eighty".