11006970400000 has 108 divisors (see below), whose sum is σ = 27461925347724. Its totient is φ = 4402787840000.

The previous prime is 11006970399989. The next prime is 11006970400007. The reversal of 11006970400000 is 407960011.

It can be written as a sum of positive squares in 6 ways, for example, as 8356169615616 + 2650800784384 = 2890704^2 + 1628128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006970400007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6079357 + ... + 7679356.

It is an arithmetic number, because the mean of its divisors is an integer number (254277086553).

Almost surely, 2^{11006970400000} is an apocalyptic number.

11006970400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006970400000 is an abundant number, since it is smaller than the sum of its proper divisors (16454954947724).

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

11006970400000 is an frugal number, since it uses more digits than its factorization.

11006970400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13758754 (or 13758720 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 11006970400000 in words is "eleven trillion, six billion, nine hundred seventy million, four hundred thousand".