15205505440 has 96 divisors (see below), whose sum is σ = 37977750720. Its totient is φ = 5737089024.

The previous prime is 15205505411. The next prime is 15205505461. The reversal of 15205505440 is 4450550251.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697587 + ... + 719053.

It is an arithmetic number, because the mean of its divisors is an integer number (395601570).

Almost surely, 2^15205505440 is an apocalyptic number.

15205505440 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 15205505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18988875360).

15205505440 is an abundant number, since it is smaller than the sum of its proper divisors (22772245280).

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

15205505440 is a wasteful number, since it uses less digits than its factorization.

15205505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21734 (or 21726 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 31.

The spelling of 15205505440 in words is "fifteen billion, two hundred five million, five hundred five thousand, four hundred forty".