1999679853600 has 864 divisors, whose sum is σ = 8591067261504. Its totient is φ = 447474585600.

The previous prime is 1999679853593. The next prime is 1999679853643. The reversal of 1999679853600 is 63589769991.

1999679853600 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 6 + 7 + 9 + 8 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27763234 + ... + 27835166.

It is an arithmetic number, because the mean of its divisors is an integer number (9943364886).

Almost surely, 2^{1999679853600} is an apocalyptic number.

1999679853600 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 1999679853600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295533630752).

1999679853600 is an abundant number, since it is smaller than the sum of its proper divisors (6591387407904).

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

1999679853600 is a wasteful number, since it uses less digits than its factorization.

1999679853600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71992 (or 71967 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 72.

The spelling of 1999679853600 in words is "one trillion, nine hundred ninety-nine billion, six hundred seventy-nine million, eight hundred fifty-three thousand, six hundred".