11655506556720 has 1440 divisors, whose sum is σ = 45287801395200. Its totient is φ = 2669466488832.

The previous prime is 11655506556691. The next prime is 11655506556797. The reversal of 11655506556720 is 2765560555611.

11655506556720 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 5 + 50 + 6 + 5 + 567 + 20 = 666.

11655506556720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32466591901 + ... + 32466592259.

It is an arithmetic number, because the mean of its divisors is an integer number (31449862080).

Almost surely, 2^{11655506556720} is an apocalyptic number.

11655506556720 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 11655506556720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643900697600).

11655506556720 is an abundant number, since it is smaller than the sum of its proper divisors (33632294838480).

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

11655506556720 is a wasteful number, since it uses less digits than its factorization.

11655506556720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 9450000, while the sum is 54.

The spelling of 11655506556720 in words is "eleven trillion, six hundred fifty-five billion, five hundred six million, five hundred fifty-six thousand, seven hundred twenty".