11343872000 has 240 divisors, whose sum is σ = 29443115520. Its totient is φ = 4358144000.

The previous prime is 11343871999. The next prime is 11343872009. The reversal of 11343872000 is 27834311.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11343872009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59391905 + ... + 59392095.

It is an arithmetic number, because the mean of its divisors is an integer number (122679648).

Almost surely, 2^11343872000 is an apocalyptic number.

11343872000 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 11343872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721557760).

11343872000 is an abundant number, since it is smaller than the sum of its proper divisors (18099243520).

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

11343872000 is an frugal number, since it uses more digits than its factorization.

11343872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 11343872000 in words is "eleven billion, three hundred forty-three million, eight hundred seventy-two thousand".