11523314880 has 448 divisors, whose sum is σ = 50685557760. Its totient is φ = 2394316800.

The previous prime is 11523314879. The next prime is 11523314897. The reversal of 11523314880 is 8841332511.

11523314880 is a `hidden beast` number, since 11 + 523 + 3 + 1 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 656620 + ... + 673940.

Almost surely, 2^11523314880 is an apocalyptic number.

11523314880 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 11523314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25342778880).

11523314880 is an abundant number, since it is smaller than the sum of its proper divisors (39162242880).

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

11523314880 is a wasteful number, since it uses less digits than its factorization.

11523314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17365 (or 17349 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11523314880 in words is "eleven billion, five hundred twenty-three million, three hundred fourteen thousand, eight hundred eighty".