11821885505280 has 864 divisors, whose sum is σ = 43198164172800. Its totient is φ = 2980757864448.

The previous prime is 11821885505231. The next prime is 11821885505281. The reversal of 11821885505280 is 8250558812811.

11821885505280 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 1 + 8 + 8 + 550 + 5 + 2 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11821885505281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3351822877 + ... + 3351826403.

It is an arithmetic number, because the mean of its divisors is an integer number (49997875200).

Almost surely, 2^{11821885505280} is an apocalyptic number.

11821885505280 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 11821885505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21599082086400).

11821885505280 is an abundant number, since it is smaller than the sum of its proper divisors (31376278667520).

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

11821885505280 is a wasteful number, since it uses less digits than its factorization.

11821885505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 54.

The spelling of 11821885505280 in words is "eleven trillion, eight hundred twenty-one billion, eight hundred eighty-five million, five hundred five thousand, two hundred eighty".