1003563554400 has 432 divisors, whose sum is σ = 3877454795760. Its totient is φ = 242221363200.

The previous prime is 1003563554387. The next prime is 1003563554401. The reversal of 1003563554400 is 44553653001.

1003563554400 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 5 + 63 + 554 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003563554401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 18109134 + ... + 18164466.

It is an arithmetic number, because the mean of its divisors is an integer number (8975589805).

Almost surely, 2^{1003563554400} is an apocalyptic number.

1003563554400 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 1003563554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938727397880).

1003563554400 is an abundant number, since it is smaller than the sum of its proper divisors (2873891241360).

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

1003563554400 is a wasteful number, since it uses less digits than its factorization.

1003563554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55599 (or 55583 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 1003563554400 in words is "one trillion, three billion, five hundred sixty-three million, five hundred fifty-four thousand, four hundred".