1896613888000 has 240 divisors, whose sum is σ = 5098014112464. Its totient is φ = 700278374400.

The previous prime is 1896613887983. The next prime is 1896613888009. The reversal of 1896613888000 is 8883166981.

It can be written as a sum of positive squares in 8 ways, for example, as 1474301067264 + 422312820736 = 1214208^2 + 649856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1896613888009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26588382 + ... + 26659618.

Almost surely, 2^{1896613888000} is an apocalyptic number.

1896613888000 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 1896613888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549007056232).

1896613888000 is an abundant number, since it is smaller than the sum of its proper divisors (3201400224464).

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

1896613888000 is an frugal number, since it uses more digits than its factorization.

1896613888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71293 (or 71257 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 58.

The spelling of 1896613888000 in words is "one trillion, eight hundred ninety-six billion, six hundred thirteen million, eight hundred eighty-eight thousand".