11411572320 has 288 divisors, whose sum is σ = 41936862240. Its totient is φ = 2815180800.

The previous prime is 11411572279. The next prime is 11411572321. The reversal of 11411572320 is 2327511411.

11411572320 is a `hidden beast` number, since 11 + 411 + 5 + 7 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411572321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1440370 + ... + 1448270.

It is an arithmetic number, because the mean of its divisors is an integer number (145614105).

Almost surely, 2^11411572320 is an apocalyptic number.

11411572320 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 11411572320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20968431120).

11411572320 is an abundant number, since it is smaller than the sum of its proper divisors (30525289920).

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

11411572320 is a wasteful number, since it uses less digits than its factorization.

11411572320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7998 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 11411572320 in words is "eleven billion, four hundred eleven million, five hundred seventy-two thousand, three hundred twenty".