11006929866240 has 2880 divisors, whose sum is σ = 53145193989888. Its totient is φ = 2151501004800.

The previous prime is 11006929866193. The next prime is 11006929866253. The reversal of 11006929866240 is 4266892960011.

11006929866240 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 9 + 2 + 9 + 8 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×11006929866240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5700118075 + ... + 5700120005.

Almost surely, 2^{11006929866240} is an apocalyptic number.

11006929866240 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 11006929866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26572596994944).

11006929866240 is an abundant number, since it is smaller than the sum of its proper divisors (42138264123648).

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

11006929866240 is a wasteful number, since it uses less digits than its factorization.

11006929866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 11006929866240 in words is "eleven trillion, six billion, nine hundred twenty-nine million, eight hundred sixty-six thousand, two hundred forty".