11267629029888 has 640 divisors, whose sum is σ = 38395682519040. Its totient is φ = 2851079454720.

The previous prime is 11267629029887. The next prime is 11267629029901. The reversal of 11267629029888 is 88892092676211.

It is not an unprimeable number, because it can be changed into a prime (11267629029883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2080046956 + ... + 2080052372.

It is an arithmetic number, because the mean of its divisors is an integer number (59993253936).

Almost surely, 2^{11267629029888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11267629029888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19197841259520).

11267629029888 is an abundant number, since it is smaller than the sum of its proper divisors (27128053489152).

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

11267629029888 is a wasteful number, since it uses less digits than its factorization.

11267629029888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 69.

The spelling of 11267629029888 in words is "eleven trillion, two hundred sixty-seven billion, six hundred twenty-nine million, twenty-nine thousand, eight hundred eighty-eight".