11307472000 has 256 divisors, whose sum is σ = 31437020160. Its totient is φ = 4008960000.

The previous prime is 11307471997. The next prime is 11307472009. The reversal of 11307472000 is 27470311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11307472009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7215217 + ... + 7216783.

It is an arithmetic number, because the mean of its divisors is an integer number (122800860).

Almost surely, 2^11307472000 is an apocalyptic number.

11307472000 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 11307472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15718510080).

11307472000 is an abundant number, since it is smaller than the sum of its proper divisors (20129548160).

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

11307472000 is a wasteful number, since it uses less digits than its factorization.

11307472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The spelling of 11307472000 in words is "eleven billion, three hundred seven million, four hundred seventy-two thousand".