11032759752 has 256 divisors, whose sum is σ = 33488640000. Its totient is φ = 2963423232.

The previous prime is 11032759733. The next prime is 11032759769. The reversal of 11032759752 is 25795723011.

It is a super-4 number, since 4×11032759752⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24571624 + ... + 24572072.

It is an arithmetic number, because the mean of its divisors is an integer number (130815000).

Almost surely, 2^11032759752 is an apocalyptic number.

11032759752 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 11032759752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320000).

11032759752 is an abundant number, since it is smaller than the sum of its proper divisors (22455880248).

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

11032759752 is a wasteful number, since it uses less digits than its factorization.

11032759752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 11032759752 in words is "eleven billion, thirty-two million, seven hundred fifty-nine thousand, seven hundred fifty-two".