15405451160 has 64 divisors (see below), whose sum is σ = 37865076480. Its totient is φ = 5594323840.

The previous prime is 15405451141. The next prime is 15405451163. The reversal of 15405451160 is 6115450451.

15405451160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15405451163) 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, 303359 + ... + 350481.

It is an arithmetic number, because the mean of its divisors is an integer number (591641820).

Almost surely, 2^15405451160 is an apocalyptic number.

15405451160 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 15405451160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18932538240).

15405451160 is an abundant number, since it is smaller than the sum of its proper divisors (22459625320).

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

15405451160 is a wasteful number, since it uses less digits than its factorization.

15405451160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47888 (or 47884 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 15405451160 in words is "fifteen billion, four hundred five million, four hundred fifty-one thousand, one hundred sixty".