11029969638 has 64 divisors (see below), whose sum is σ = 24773337600. Its totient is φ = 3637418400.

The previous prime is 11029969637. The next prime is 11029969667. The reversal of 11029969638 is 83696992011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11029969637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6185295 + ... + 6187077.

It is an arithmetic number, because the mean of its divisors is an integer number (387083400).

Almost surely, 2^11029969638 is an apocalyptic number.

11029969638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11029969638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12386668800).

11029969638 is an abundant number, since it is smaller than the sum of its proper divisors (13743367962).

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

11029969638 is a wasteful number, since it uses less digits than its factorization.

11029969638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 11029969638 in words is "eleven billion, twenty-nine million, nine hundred sixty-nine thousand, six hundred thirty-eight".