11545255440 has 60 divisors (see below), whose sum is σ = 38772818604. Its totient is φ = 3078734592.

The previous prime is 11545255439. The next prime is 11545255489. The reversal of 11545255440 is 4455254511.

11545255440 is a `hidden beast` number, since 1 + 1 + 54 + 52 + 554 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5483698704 + 6061556736 = 74052^2 + 77856^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 11545255395 and 11545255404.

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 11 ways as a sum of consecutive naturals, for example, 8016819 + ... + 8018258.

Almost surely, 2^11545255440 is an apocalyptic number.

11545255440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11545255440 is an abundant number, since it is smaller than the sum of its proper divisors (27227563164).

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

11545255440 is a wasteful number, since it uses less digits than its factorization.

11545255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16035096 (or 16035087 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 11545255440 in words is "eleven billion, five hundred forty-five million, two hundred fifty-five thousand, four hundred forty".