1999616870400 has 288 divisors, whose sum is σ = 6789132342720. Its totient is φ = 518818037760.

The previous prime is 1999616870399. The next prime is 1999616870411. The reversal of 1999616870400 is 40786169991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 23 ways as a sum of consecutive naturals, for example, 5507277 + ... + 5859123.

It is an arithmetic number, because the mean of its divisors is an integer number (23573376190).

Almost surely, 2^{1999616870400} is an apocalyptic number.

1999616870400 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 1999616870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394566171360).

1999616870400 is an abundant number, since it is smaller than the sum of its proper divisors (4789515472320).

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

1999616870400 is a wasteful number, since it uses less digits than its factorization.

1999616870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351919 (or 351894 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 60.

The spelling of 1999616870400 in words is "one trillion, nine hundred ninety-nine billion, six hundred sixteen million, eight hundred seventy thousand, four hundred".