11032519680 has 704 divisors, whose sum is σ = 48310510080. Its totient is φ = 2325086208.

The previous prime is 11032519657. The next prime is 11032519703. The reversal of 11032519680 is 8691523011.

It is an interprime number because it is at equal distance from previous prime (11032519657) and next prime (11032519703).

It is a super-3 number, since 3×11032519680³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12579402 + ... + 12580278.

Almost surely, 2^11032519680 is an apocalyptic number.

11032519680 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 11032519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24155255040).

11032519680 is an abundant number, since it is smaller than the sum of its proper divisors (37277990400).

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

11032519680 is a wasteful number, since it uses less digits than its factorization.

11032519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11032519680 in words is "eleven billion, thirty-two million, five hundred nineteen thousand, six hundred eighty".