199996544880 has 320 divisors, whose sum is σ = 795709785600. Its totient is φ = 45631918080.

The previous prime is 199996544833. The next prime is 199996544899. The reversal of 199996544880 is 88445699991.

199996544880 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 96 + 54 + 488 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 199996544799 and 199996544808.

It is a congruent number.

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, 156351 + ... + 651489.

It is an arithmetic number, because the mean of its divisors is an integer number (2486593080).

Almost surely, 2^199996544880 is an apocalyptic number.

199996544880 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 199996544880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397854892800).

199996544880 is an abundant number, since it is smaller than the sum of its proper divisors (595713240720).

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

199996544880 is a wasteful number, since it uses less digits than its factorization.

199996544880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495189 (or 495177 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 199996544880 in words is "one hundred ninety-nine billion, nine hundred ninety-six million, five hundred forty-four thousand, eight hundred eighty".