1388549675520 has 960 divisors, whose sum is σ = 5761873180800. Its totient is φ = 316036546560.

The previous prime is 1388549675519. The next prime is 1388549675627. The reversal of 1388549675520 is 255769458831.

1388549675520 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 5 + 49 + 67 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 951712551 + ... + 951714009.

It is an arithmetic number, because the mean of its divisors is an integer number (6001951230).

It is a 1-persistent number, because it is pandigital, but 2⋅1388549675520 = 2777099351040 is not.

Almost surely, 2^{1388549675520} is an apocalyptic number.

1388549675520 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 1388549675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880936590400).

1388549675520 is an abundant number, since it is smaller than the sum of its proper divisors (4373323505280).

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

1388549675520 is a wasteful number, since it uses less digits than its factorization.

1388549675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 1388549675520 in words is "one trillion, three hundred eighty-eight billion, five hundred forty-nine million, six hundred seventy-five thousand, five hundred twenty".