1968509887500 has 432 divisors, whose sum is σ = 6240632573952. Its totient is φ = 482695200000.

The previous prime is 1968509887493. The next prime is 1968509887501. The reversal of 1968509887500 is 57889058691.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968509887501) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2427262095 + ... + 2427262905.

It is an arithmetic number, because the mean of its divisors is an integer number (14445908736).

Almost surely, 2^{1968509887500} is an apocalyptic number.

1968509887500 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 1968509887500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120316286976).

1968509887500 is an abundant number, since it is smaller than the sum of its proper divisors (4272122686452).

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

1968509887500 is a wasteful number, since it uses less digits than its factorization.

1968509887500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 66.

The spelling of 1968509887500 in words is "one trillion, nine hundred sixty-eight billion, five hundred nine million, eight hundred eighty-seven thousand, five hundred".