11554824960 has 1008 divisors, whose sum is σ = 49864933440. Its totient is φ = 2508226560.

The previous prime is 11554824949. The next prime is 11554824971. The reversal of 11554824960 is 6942845511.

11554824960 is a `hidden beast` number, since 1 + 1 + 5 + 548 + 2 + 49 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (11554824949) and next prime (11554824971).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 189423330 + ... + 189423390.

It is an arithmetic number, because the mean of its divisors is an integer number (49469180).

Almost surely, 2^11554824960 is an apocalyptic number.

11554824960 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 11554824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24932466720).

11554824960 is an abundant number, since it is smaller than the sum of its proper divisors (38310108480).

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

11554824960 is an frugal number, since it uses more digits than its factorization.

11554824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11554824960 in words is "eleven billion, five hundred fifty-four million, eight hundred twenty-four thousand, nine hundred sixty".