10988136936000 has 1344 divisors, whose sum is σ = 45731956548096. Its totient is φ = 2466643968000.

The previous prime is 10988136935953. The next prime is 10988136936001. The reversal of 10988136936000 is 63963188901.

10988136936000 is a `hidden beast` number, since 10 + 9 + 8 + 8 + 13 + 6 + 9 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (10988136936001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8073575320 + ... + 8073576680.

It is an arithmetic number, because the mean of its divisors is an integer number (34026753384).

Almost surely, 2^{10988136936000} is an apocalyptic number.

10988136936000 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 10988136936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22865978274048).

10988136936000 is an abundant number, since it is smaller than the sum of its proper divisors (34743819612096).

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

10988136936000 is a wasteful number, since it uses less digits than its factorization.

10988136936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 10988136936000 in words is "ten trillion, nine hundred eighty-eight billion, one hundred thirty-six million, nine hundred thirty-six thousand".