1538009036928 has 768 divisors, whose sum is σ = 5686482896640. Its totient is φ = 402928680960.

The previous prime is 1538009036911. The next prime is 1538009036939. The reversal of 1538009036928 is 8296309008351.

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 95 ways as a sum of consecutive naturals, for example, 444381118 + ... + 444384578.

It is an arithmetic number, because the mean of its divisors is an integer number (7404274605).

Almost surely, 2^{1538009036928} is an apocalyptic number.

1538009036928 is a gapful number since it is divisible by the number (18) 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 1538009036928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843241448320).

1538009036928 is an abundant number, since it is smaller than the sum of its proper divisors (4148473859712).

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

1538009036928 is a wasteful number, since it uses less digits than its factorization.

1538009036928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1538009036928 in words is "one trillion, five hundred thirty-eight billion, nine million, thirty-six thousand, nine hundred twenty-eight".