11026829952 has 384 divisors, whose sum is σ = 35607237120. Its totient is φ = 3258777600.

The previous prime is 11026829939. The next prime is 11026829953. The reversal of 11026829952 is 25992862011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 11026829898 and 11026829907.

It is not an unprimeable number, because it can be changed into a prime (11026829953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24891043 + ... + 24891485.

It is an arithmetic number, because the mean of its divisors is an integer number (92727180).

Almost surely, 2^11026829952 is an apocalyptic number.

11026829952 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 11026829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17803618560).

11026829952 is an abundant number, since it is smaller than the sum of its proper divisors (24580407168).

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

11026829952 is a wasteful number, since it uses less digits than its factorization.

11026829952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11026829952 in words is "eleven billion, twenty-six million, eight hundred twenty-nine thousand, nine hundred fifty-two".