11190680576 has 176 divisors, whose sum is σ = 24831256320. Its totient is φ = 5017436160.

The previous prime is 11190680537. The next prime is 11190680587. The reversal of 11190680576 is 67508609111.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 48028556 + ... + 48028788.

Almost surely, 2^11190680576 is an apocalyptic number.

11190680576 is a gapful number since it is divisible by the number (16) 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 11190680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12415628160).

11190680576 is an abundant number, since it is smaller than the sum of its proper divisors (13640575744).

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

11190680576 is a wasteful number, since it uses less digits than its factorization.

11190680576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 44.

The spelling of 11190680576 in words is "eleven billion, one hundred ninety million, six hundred eighty thousand, five hundred seventy-six".