11524682880 has 96 divisors (see below), whose sum is σ = 39796190460. Its totient is φ = 3073247232.

The previous prime is 11524682879. The next prime is 11524682899. The reversal of 11524682880 is 8828642511.

It can be written as a sum of positive squares in 2 ways, for example, as 9555453504 + 1969229376 = 97752^2 + 44376^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 994647 + ... + 1006166.

Almost surely, 2^11524682880 is an apocalyptic number.

11524682880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11524682880 is an abundant number, since it is smaller than the sum of its proper divisors (28271507580).

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

11524682880 is a wasteful number, since it uses less digits than its factorization.

11524682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000838 (or 2000823 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 11524682880 in words is "eleven billion, five hundred twenty-four million, six hundred eighty-two thousand, eight hundred eighty".