11070219888000 has 2048 divisors, whose sum is σ = 52829876736000. Its totient is φ = 2212614144000.

The previous prime is 11070219887989. The next prime is 11070219888001. The reversal of 11070219888000 is 88891207011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11070219888001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 746920590 + ... + 746935410.

It is an arithmetic number, because the mean of its divisors is an integer number (25795838250).

Almost surely, 2^{11070219888000} is an apocalyptic number.

11070219888000 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 11070219888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26414938368000).

11070219888000 is an abundant number, since it is smaller than the sum of its proper divisors (41759656848000).

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

11070219888000 is a wasteful number, since it uses less digits than its factorization.

11070219888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14898 (or 14870 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 11070219888000 in words is "eleven trillion, seventy billion, two hundred nineteen million, eight hundred eighty-eight thousand".