11553540800 has 84 divisors (see below), whose sum is σ = 28557297216. Its totient is φ = 4600550400.

The previous prime is 11553540787. The next prime is 11553540851. The reversal of 11553540800 is 804535511.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340610 + ... + 372990.

It is an arithmetic number, because the mean of its divisors is an integer number (339967824).

Almost surely, 2^11553540800 is an apocalyptic number.

11553540800 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 11553540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14278648608).

11553540800 is an abundant number, since it is smaller than the sum of its proper divisors (17003756416).

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

11553540800 is a wasteful number, since it uses less digits than its factorization.

11553540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32626 (or 32611 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 11553540800 in words is "eleven billion, five hundred fifty-three million, five hundred forty thousand, eight hundred".