1368887538900 has 288 divisors, whose sum is σ = 4550930721792. Its totient is φ = 311201510400.

The previous prime is 1368887538877. The next prime is 1368887538917. The reversal of 1368887538900 is 98357888631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324609592 + ... + 324613808.

It is an arithmetic number, because the mean of its divisors is an integer number (15801842784).

Almost surely, 2^{1368887538900} is an apocalyptic number.

1368887538900 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 1368887538900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275465360896).

1368887538900 is an abundant number, since it is smaller than the sum of its proper divisors (3182043182892).

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

1368887538900 is a wasteful number, since it uses less digits than its factorization.

1368887538900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 66.

The spelling of 1368887538900 in words is "one trillion, three hundred sixty-eight billion, eight hundred eighty-seven million, five hundred thirty-eight thousand, nine hundred".