11154323980800 has 3840 divisors, whose sum is σ = 57898094284800. Its totient is φ = 2025691545600.

The previous prime is 11154323980769. The next prime is 11154323980831. The reversal of 11154323980800 is 808932345111.

11154323980800 is a `hidden beast` number, since 1 + 1 + 1 + 543 + 23 + 9 + 8 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11154323980769) and next prime (11154323980831).

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 6572965552 + ... + 6572967248.

It is an arithmetic number, because the mean of its divisors is an integer number (15077628720).

Almost surely, 2^{11154323980800} is an apocalyptic number.

11154323980800 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 11154323980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28949047142400).

11154323980800 is an abundant number, since it is smaller than the sum of its proper divisors (46743770304000).

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

11154323980800 is a wasteful number, since it uses less digits than its factorization.

11154323980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11154323980800 in words is "eleven trillion, one hundred fifty-four billion, three hundred twenty-three million, nine hundred eighty thousand, eight hundred".