11475388320 has 576 divisors, whose sum is σ = 41892318720. Its totient is φ = 2635776000.

The previous prime is 11475388307. The next prime is 11475388339. The reversal of 11475388320 is 2388357411.

It is a super-3 number, since 3×11475388320³ (a number of 31 digits) contains 333 as substring.

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, 145258041 + ... + 145258119.

It is an arithmetic number, because the mean of its divisors is an integer number (72729720).

Almost surely, 2^11475388320 is an apocalyptic number.

11475388320 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 11475388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20946159360).

11475388320 is an abundant number, since it is smaller than the sum of its proper divisors (30416930400).

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

11475388320 is a wasteful number, since it uses less digits than its factorization.

11475388320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 11475388320 in words is "eleven billion, four hundred seventy-five million, three hundred eighty-eight thousand, three hundred twenty".