10988968536000 has 4032 divisors, whose sum is σ = 52089444126720. Its totient is φ = 2188892160000.

The previous prime is 10988968535971. The next prime is 10988968536047. The reversal of 10988968536000 is 63586988901.

10988968536000 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 8 + 96 + 8 + 536 + 0 + 0 + 0 = 666.

10988968536000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 83885255935 + ... + 83885256065.

It is an arithmetic number, because the mean of its divisors is an integer number (12919008960).

Almost surely, 2^{10988968536000} is an apocalyptic number.

10988968536000 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 10988968536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26044722063360).

10988968536000 is an abundant number, since it is smaller than the sum of its proper divisors (41100475590720).

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

10988968536000 is a wasteful number, since it uses less digits than its factorization.

10988968536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 10988968536000 in words is "ten trillion, nine hundred eighty-eight billion, nine hundred sixty-eight million, five hundred thirty-six thousand".