11021488128000 has 2048 divisors, whose sum is σ = 48680027136000. Its totient is φ = 2405774131200.

The previous prime is 11021488127987. The next prime is 11021488128031. The reversal of 11021488128000 is 82188412011.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17805311691 + ... + 17805312309.

It is an arithmetic number, because the mean of its divisors is an integer number (23769544500).

Almost surely, 2^{11021488128000} is an apocalyptic number.

11021488128000 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 11021488128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24340013568000).

11021488128000 is an abundant number, since it is smaller than the sum of its proper divisors (37658539008000).

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

11021488128000 is an frugal number, since it uses more digits than its factorization.

11021488128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 11021488128000 in words is "eleven trillion, twenty-one billion, four hundred eighty-eight million, one hundred twenty-eight thousand".