11354618880 has 880 divisors, whose sum is σ = 47080344960. Its totient is φ = 2587852800.

The previous prime is 11354618833. The next prime is 11354618893. The reversal of 11354618880 is 8881645311.

11354618880 is a `hidden beast` number, since 1 + 1 + 35 + 461 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86676415 + ... + 86676545.

It is an arithmetic number, because the mean of its divisors is an integer number (53500392).

Almost surely, 2^11354618880 is an apocalyptic number.

11354618880 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 11354618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23540172480).

11354618880 is an abundant number, since it is smaller than the sum of its proper divisors (35725726080).

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

11354618880 is a wasteful number, since it uses less digits than its factorization.

11354618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 11354618880 in words is "eleven billion, three hundred fifty-four million, six hundred eighteen thousand, eight hundred eighty".