1136820484800 has 4032 divisors, whose sum is σ = 5916805300224. Its totient is φ = 206928691200.

The previous prime is 1136820484741. The next prime is 1136820484829. The reversal of 1136820484800 is 84840286311.

1136820484800 is a `hidden beast` number, since 1 + 1 + 368 + 204 + 8 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 575 ways as a sum of consecutive naturals, for example, 8951342337 + ... + 8951342463.

It is an arithmetic number, because the mean of its divisors is an integer number (1467461632).

Almost surely, 2^{1136820484800} is an apocalyptic number.

1136820484800 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 1136820484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958402650112).

1136820484800 is an abundant number, since it is smaller than the sum of its proper divisors (4779984815424).

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

1136820484800 is a wasteful number, since it uses less digits than its factorization.

1136820484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1136820484800 in words is "one trillion, one hundred thirty-six billion, eight hundred twenty million, four hundred eighty-four thousand, eight hundred".