11032987680 has 576 divisors, whose sum is σ = 44678874240. Its totient is φ = 2444083200.

The previous prime is 11032987639. The next prime is 11032987723. The reversal of 11032987680 is 8678923011.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 26975316 + ... + 26975724.

It is an arithmetic number, because the mean of its divisors is an integer number (77567490).

Almost surely, 2^11032987680 is an apocalyptic number.

11032987680 is a gapful number since it is divisible by the number (10) 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 11032987680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22339437120).

11032987680 is an abundant number, since it is smaller than the sum of its proper divisors (33645886560).

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

11032987680 is a wasteful number, since it uses less digits than its factorization.

11032987680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11032987680 in words is "eleven billion, thirty-two million, nine hundred eighty-seven thousand, six hundred eighty".