11765780020800 has 336 divisors, whose sum is σ = 46189906990080. Its totient is φ = 2896191866880.

The previous prime is 11765780020777. The next prime is 11765780020801. The reversal of 11765780020800 is 802008756711.

It is a happy number.

11765780020800 is a `hidden beast` number, since 1 + 1 + 76 + 578 + 0 + 0 + 2 + 0 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11765780020801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9913632 + ... + 11036831.

It is an arithmetic number, because the mean of its divisors is an integer number (137469961280).

Almost surely, 2^{11765780020800} is an apocalyptic number.

11765780020800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11765780020800 is an abundant number, since it is smaller than the sum of its proper divisors (34424126969280).

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

11765780020800 is a wasteful number, since it uses less digits than its factorization.

11765780020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20950507 (or 20950486 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 11765780020800 in words is "eleven trillion, seven hundred sixty-five billion, seven hundred eighty million, twenty thousand, eight hundred".