11729327400 has 288 divisors, whose sum is σ = 46472025600. Its totient is φ = 2594419200.

The previous prime is 11729327387. The next prime is 11729327417. The reversal of 11729327400 is 472392711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 375586 + ... + 405614.

It is an arithmetic number, because the mean of its divisors is an integer number (161361200).

Almost surely, 2^11729327400 is an apocalyptic number.

11729327400 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 11729327400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23236012800).

11729327400 is an abundant number, since it is smaller than the sum of its proper divisors (34742698200).

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

11729327400 is a wasteful number, since it uses less digits than its factorization.

11729327400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30089 (or 30077 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11729327400 in words is "eleven billion, seven hundred twenty-nine million, three hundred twenty-seven thousand, four hundred".