1538476480800 has 1080 divisors, whose sum is σ = 6546342726000. Its totient is φ = 350585625600.

The previous prime is 1538476480759. The next prime is 1538476480813. The reversal of 1538476480800 is 80846748351.

1538476480800 is a `hidden beast` number, since 1 + 5 + 3 + 84 + 7 + 6 + 480 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1584424315 + ... + 1584425285.

It is an arithmetic number, because the mean of its divisors is an integer number (6061428450).

Almost surely, 2^{1538476480800} is an apocalyptic number.

1538476480800 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 1538476480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273171363000).

1538476480800 is an abundant number, since it is smaller than the sum of its proper divisors (5007866245200).

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

1538476480800 is a wasteful number, since it uses less digits than its factorization.

1538476480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1538476480800 in words is "one trillion, five hundred thirty-eight billion, four hundred seventy-six million, four hundred eighty thousand, eight hundred".