11503804800 has 192 divisors, whose sum is σ = 40120088400. Its totient is φ = 2887188480.

The previous prime is 11503804789. The next prime is 11503804831. The reversal of 11503804800 is 840830511.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127956 + ... + 198444.

Almost surely, 2^11503804800 is an apocalyptic number.

11503804800 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 11503804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20060044200).

11503804800 is an abundant number, since it is smaller than the sum of its proper divisors (28616283600).

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

11503804800 is a wasteful number, since it uses less digits than its factorization.

11503804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70533 (or 70516 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 11503804800 in words is "eleven billion, five hundred three million, eight hundred four thousand, eight hundred".