11760806534400 has 3024 divisors, whose sum is σ = 57311430167040. Its totient is φ = 2313839001600.

The previous prime is 11760806534341. The next prime is 11760806534423. The reversal of 11760806534400 is 443560806711.

11760806534400 is a `hidden beast` number, since 1 + 1 + 7 + 608 + 0 + 6 + 5 + 34 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 6825771939 + ... + 6825773661.

Almost surely, 2^{11760806534400} is an apocalyptic number.

11760806534400 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 11760806534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28655715083520).

11760806534400 is an abundant number, since it is smaller than the sum of its proper divisors (45550623632640).

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

11760806534400 is a wasteful number, since it uses less digits than its factorization.

11760806534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 11760806534400 in words is "eleven trillion, seven hundred sixty billion, eight hundred six million, five hundred thirty-four thousand, four hundred".