1538720354304 has 624 divisors, whose sum is σ = 5293755492480. Its totient is φ = 437466562560.

The previous prime is 1538720354263. The next prime is 1538720354317. The reversal of 1538720354304 is 4034530278351.

1538720354304 is a `hidden beast` number, since 1 + 5 + 3 + 8 + 7 + 203 + 5 + 430 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1538720354304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1874202214 + ... + 1874203034.

It is an arithmetic number, because the mean of its divisors is an integer number (8483582520).

Almost surely, 2^{1538720354304} is an apocalyptic number.

1538720354304 is a gapful number since it is divisible by the number (14) 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 1538720354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646877746240).

1538720354304 is an abundant number, since it is smaller than the sum of its proper divisors (3755035138176).

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

1538720354304 is an frugal number, since it uses more digits than its factorization.

1538720354304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 1538720354304 in words is "one trillion, five hundred thirty-eight billion, seven hundred twenty million, three hundred fifty-four thousand, three hundred four".