11882363562300 has 288 divisors, whose sum is σ = 42926671517184. Its totient is φ = 2465390592000.

The previous prime is 11882363562253. The next prime is 11882363562301. The reversal of 11882363562300 is 326536328811.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11882363562300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11882363562301) 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, 15164140 + ... + 15928460.

It is an arithmetic number, because the mean of its divisors is an integer number (149050942768).

Almost surely, 2^{11882363562300} is an apocalyptic number.

11882363562300 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 11882363562300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21463335758592).

11882363562300 is an abundant number, since it is smaller than the sum of its proper divisors (31044307954884).

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

11882363562300 is a wasteful number, since it uses less digits than its factorization.

11882363562300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765029 (or 765022 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 11882363562300 in words is "eleven trillion, eight hundred eighty-two billion, three hundred sixty-three million, five hundred sixty-two thousand, three hundred".