11143532400 has 480 divisors, whose sum is σ = 47933265408. Its totient is φ = 2137190400.

The previous prime is 11143532359. The next prime is 11143532447. The reversal of 11143532400 is 423534111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1196562 + ... + 1205838.

Almost surely, 2^11143532400 is an apocalyptic number.

11143532400 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 11143532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23966632704).

11143532400 is an abundant number, since it is smaller than the sum of its proper divisors (36789733008).

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

11143532400 is a wasteful number, since it uses less digits than its factorization.

11143532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9329 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 11143532400 in words is "eleven billion, one hundred forty-three million, five hundred thirty-two thousand, four hundred".