11756728450800 has 180 divisors, whose sum is σ = 40858165706904. Its totient is φ = 3130589836800.

The previous prime is 11756728450771. The next prime is 11756728450807. The reversal of 11756728450800 is 805482765711.

11756728450800 is a `hidden beast` number, since 1 + 1 + 7 + 56 + 7 + 2 + 84 + 508 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11756728450807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124534 + ... + 4850666.

Almost surely, 2^{11756728450800} is an apocalyptic number.

11756728450800 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 11756728450800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20429082853452).

11756728450800 is an abundant number, since it is smaller than the sum of its proper divisors (29101437256104).

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

11756728450800 is a wasteful number, since it uses less digits than its factorization.

11756728450800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726848 (or 4726834 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 11756728450800 in words is "eleven trillion, seven hundred fifty-six billion, seven hundred twenty-eight million, four hundred fifty thousand, eight hundred".