11806825002 has 64 divisors (see below), whose sum is σ = 27661271040. Its totient is φ = 3290003136.

The previous prime is 11806824961. The next prime is 11806825103. The reversal of 11806825002 is 20052860811.

It is a super-3 number, since 3×11806825002³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295948 + ... + 333464.

It is an arithmetic number, because the mean of its divisors is an integer number (432207360).

Almost surely, 2^11806825002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11806825002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830635520).

11806825002 is an abundant number, since it is smaller than the sum of its proper divisors (15854446038).

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

11806825002 is a wasteful number, since it uses less digits than its factorization.

11806825002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37715.

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 11806825002 in words is "eleven billion, eight hundred six million, eight hundred twenty-five thousand, two".