1538328311520 has 2304 divisors, whose sum is σ = 6962233098240. Its totient is φ = 277364736000.

The previous prime is 1538328311519. The next prime is 1538328311549. The reversal of 1538328311520 is 251138238351.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6717590766 + ... + 6717590994.

It is an arithmetic number, because the mean of its divisors is an integer number (3021802560).

Almost surely, 2^{1538328311520} is an apocalyptic number.

1538328311520 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 1538328311520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481116549120).

1538328311520 is an abundant number, since it is smaller than the sum of its proper divisors (5423904786720).

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

1538328311520 is a wasteful number, since it uses less digits than its factorization.

1538328311520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 1538328311520 in words is "one trillion, five hundred thirty-eight billion, three hundred twenty-eight million, three hundred eleven thousand, five hundred twenty".