11528301921840 has 120 divisors (see below), whose sum is σ = 42235506160848. Its totient is φ = 2794739857920.

The previous prime is 11528301921821. The next prime is 11528301921841. The reversal of 11528301921840 is 4812910382511.

11528301921840 is a `hidden beast` number, since 1 + 1 + 5 + 283 + 0 + 192 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×11528301921840³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11528301921841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 727788919 + ... + 727804758.

Almost surely, 2^{11528301921840} is an apocalyptic number.

11528301921840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11528301921840 is an abundant number, since it is smaller than the sum of its proper divisors (30707204239008).

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

11528301921840 is a wasteful number, since it uses less digits than its factorization.

11528301921840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455593707 (or 1455593698 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11528301921840 in words is "eleven trillion, five hundred twenty-eight billion, three hundred one million, nine hundred twenty-one thousand, eight hundred forty".