1387796889600 has 1824 divisors, whose sum is σ = 5991467950080. Its totient is φ = 311427072000.

The previous prime is 1387796889581. The next prime is 1387796889607. The reversal of 1387796889600 is 69886977831.

1387796889600 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 7 + 9 + 6 + 8 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387796889607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44767641585 + ... + 44767641615.

Almost surely, 2^{1387796889600} is an apocalyptic number.

1387796889600 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 1387796889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995733975040).

1387796889600 is an abundant number, since it is smaller than the sum of its proper divisors (4603671060480).

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

1387796889600 is an equidigital number, since it uses as much as digits as its factorization.

1387796889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 1387796889600 in words is "one trillion, three hundred eighty-seven billion, seven hundred ninety-six million, eight hundred eighty-nine thousand, six hundred".