15255435440 has 80 divisors (see below), whose sum is σ = 40552642560. Its totient is φ = 5228271360.

The previous prime is 15255435439. The next prime is 15255435449. The reversal of 15255435440 is 4453455251.

15255435440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 15255435394 and 15255435403.

It is not an unprimeable number, because it can be changed into a prime (15255435449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1962281 + ... + 1970039.

It is an arithmetic number, because the mean of its divisors is an integer number (506908032).

Almost surely, 2^15255435440 is an apocalyptic number.

15255435440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15255435440 is an abundant number, since it is smaller than the sum of its proper divisors (25297207120).

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

15255435440 is a wasteful number, since it uses less digits than its factorization.

15255435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11290 (or 11284 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 38.

The spelling of 15255435440 in words is "fifteen billion, two hundred fifty-five million, four hundred thirty-five thousand, four hundred forty".