11070683424000 has 1728 divisors, whose sum is σ = 44311866842880. Its totient is φ = 2742327705600.

The previous prime is 11070683423939. The next prime is 11070683424011. The reversal of 11070683424000 is 42438607011.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10971935496 + ... + 10971936504.

It is an arithmetic number, because the mean of its divisors is an integer number (25643441460).

Almost surely, 2^{11070683424000} is an apocalyptic number.

11070683424000 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 11070683424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22155933421440).

11070683424000 is an abundant number, since it is smaller than the sum of its proper divisors (33241183418880).

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

11070683424000 is an equidigital number, since it uses as much as digits as its factorization.

11070683424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11070683424000 in words is "eleven trillion, seventy billion, six hundred eighty-three million, four hundred twenty-four thousand".