1388020727808 has 1536 divisors, whose sum is σ = 5193844830720. Its totient is φ = 364369674240.

The previous prime is 1388020727789. The next prime is 1388020727833. The reversal of 1388020727808 is 8087270208831.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 26189070310 + ... + 26189070362.

It is an arithmetic number, because the mean of its divisors is an integer number (3381409395).

Almost surely, 2^{1388020727808} is an apocalyptic number.

1388020727808 is a gapful number since it is divisible by the number (18) 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 1388020727808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596922415360).

1388020727808 is an abundant number, since it is smaller than the sum of its proper divisors (3805824102912).

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

1388020727808 is an equidigital number, since it uses as much as digits as its factorization.

1388020727808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 1388020727808 in words is "one trillion, three hundred eighty-eight billion, twenty million, seven hundred twenty-seven thousand, eight hundred eight".