1538963062560 has 1728 divisors, whose sum is σ = 6938757955584. Its totient is φ = 306812620800.

The previous prime is 1538963062531. The next prime is 1538963062579. The reversal of 1538963062560 is 652603698351.

It is a happy number.

1538963062560 is a `hidden beast` number, since 1 + 5 + 3 + 8 + 9 + 6 + 3 + 0 + 625 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1538963062497 and 1538963062506.

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 287 ways as a sum of consecutive naturals, for example, 4018180129 + ... + 4018180511.

It is an arithmetic number, because the mean of its divisors is an integer number (4015484928).

Almost surely, 2^{1538963062560} is an apocalyptic number.

1538963062560 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 1538963062560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469378977792).

1538963062560 is an abundant number, since it is smaller than the sum of its proper divisors (5399794893024).

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

1538963062560 is a wasteful number, since it uses less digits than its factorization.

1538963062560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 1538963062560 in words is "one trillion, five hundred thirty-eight billion, nine hundred sixty-three million, sixty-two thousand, five hundred sixty".