1999613952000 has 2304 divisors, whose sum is σ = 8908886619360. Its totient is φ = 445906944000.

The previous prime is 1999613951999. The next prime is 1999613952013. The reversal of 1999613952000 is 2593169991.

1999613952000 is a `hidden beast` number, since 19 + 9 + 9 + 613 + 9 + 5 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48771071980 + ... + 48771072020.

Almost surely, 2^{1999613952000} is an apocalyptic number.

1999613952000 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 1999613952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454443309680).

1999613952000 is an abundant number, since it is smaller than the sum of its proper divisors (6909272667360).

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

1999613952000 is an frugal number, since it uses more digits than its factorization.

1999613952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 1999613952000 in words is "one trillion, nine hundred ninety-nine billion, six hundred thirteen million, nine hundred fifty-two thousand".