11902666752 has 288 divisors, whose sum is σ = 36509840640. Its totient is φ = 3729162240.

The previous prime is 11902666751. The next prime is 11902666777. The reversal of 11902666752 is 25766620911.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 11902666698 and 11902666707.

It is not an unprimeable number, because it can be changed into a prime (11902666751) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21141223 + ... + 21141785.

It is an arithmetic number, because the mean of its divisors is an integer number (126770280).

Almost surely, 2^11902666752 is an apocalyptic number.

11902666752 is a gapful number since it is divisible by the number (12) 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 11902666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18254920320).

11902666752 is an abundant number, since it is smaller than the sum of its proper divisors (24607173888).

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

11902666752 is a wasteful number, since it uses less digits than its factorization.

11902666752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11902666752 in words is "eleven billion, nine hundred two million, six hundred sixty-six thousand, seven hundred fifty-two".