11503803285504 has 1200 divisors, whose sum is σ = 39188786757120. Its totient is φ = 3340480020480.

The previous prime is 11503803285503. The next prime is 11503803285539. The reversal of 11503803285504 is 40558230830511.

11503803285504 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 38 + 0 + 32 + 85 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11503803285504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11503803285503) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20146765539 + ... + 20146766109.

Almost surely, 2^{11503803285504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11503803285504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19594393378560).

11503803285504 is an abundant number, since it is smaller than the sum of its proper divisors (27684983471616).

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

11503803285504 is an equidigital number, since it uses as much as digits as its factorization.

11503803285504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 11503803285504 in words is "eleven trillion, five hundred three billion, eight hundred three million, two hundred eighty-five thousand, five hundred four".