1538960025600 has 432 divisors, whose sum is σ = 5521714986060. Its totient is φ = 409632768000.

The previous prime is 1538960025571. The next prime is 1538960025611. The reversal of 1538960025600 is 65200698351.

1538960025600 is a `hidden beast` number, since 1 + 5 + 3 + 89 + 6 + 0 + 0 + 2 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1225395864576 + 313564161024 = 1106976^2 + 559968^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 276938022 + ... + 276943578.

Almost surely, 2^{1538960025600} is an apocalyptic number.

1538960025600 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 1538960025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760857493030).

1538960025600 is an abundant number, since it is smaller than the sum of its proper divisors (3982754960460).

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

1538960025600 is a wasteful number, since it uses less digits than its factorization.

1538960025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1538960025600 in words is "one trillion, five hundred thirty-eight billion, nine hundred sixty million, twenty-five thousand, six hundred".