11620565528000 has 896 divisors, whose sum is σ = 35994821990400. Its totient is φ = 3653185536000.

The previous prime is 11620565527993. The next prime is 11620565528003. The reversal of 11620565528000 is 82556502611.

11620565528000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11620565528003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1934500997 + ... + 1934507003.

It is an arithmetic number, because the mean of its divisors is an integer number (40172792400).

Almost surely, 2^{11620565528000} is an apocalyptic number.

11620565528000 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 11620565528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17997410995200).

11620565528000 is an abundant number, since it is smaller than the sum of its proper divisors (24374256462400).

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

11620565528000 is a wasteful number, since it uses less digits than its factorization.

11620565528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6166 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 41.

The spelling of 11620565528000 in words is "eleven trillion, six hundred twenty billion, five hundred sixty-five million, five hundred twenty-eight thousand".