1603040025600 has 660 divisors, whose sum is σ = 6392581523944. Its totient is φ = 394587832320.

The previous prime is 1603040025599. The next prime is 1603040025659. The reversal of 1603040025600 is 65200403061.

1603040025600 is a `hidden beast` number, since 1 + 6 + 0 + 3 + 0 + 400 + 256 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26927067 + ... + 26986533.

Almost surely, 2^{1603040025600} is an apocalyptic number.

1603040025600 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 1603040025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196290761972).

1603040025600 is an abundant number, since it is smaller than the sum of its proper divisors (4789541498344).

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

1603040025600 is a wasteful number, since it uses less digits than its factorization.

1603040025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59522 (or 59490 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1603040025600 its reverse (65200403061), we get a palindrome (1668240428661).

The spelling of 1603040025600 in words is "one trillion, six hundred three billion, forty million, twenty-five thousand, six hundred".