11528279040 has 176 divisors, whose sum is σ = 37500384960. Its totient is φ = 3021864960.

The previous prime is 11528278963. The next prime is 11528279111. The reversal of 11528279040 is 4097282511.

It is a self number, because there is not a number n which added to its sum of digits gives 11528279040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 899880 + ... + 912600.

Almost surely, 2^11528279040 is an apocalyptic number.

11528279040 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 11528279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18750192480).

11528279040 is an abundant number, since it is smaller than the sum of its proper divisors (25972105920).

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

11528279040 is a wasteful number, since it uses less digits than its factorization.

11528279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12808 (or 12790 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 11528279040 in words is "eleven billion, five hundred twenty-eight million, two hundred seventy-nine thousand, forty".