15540145544 has 64 divisors (see below), whose sum is σ = 36371237760. Its totient is φ = 6047331840.

The previous prime is 15540145513. The next prime is 15540145549. The reversal of 15540145544 is 44554104551.

15540145544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×15540145544² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15540145498 and 15540145507.

It is not an unprimeable number, because it can be changed into a prime (15540145549) 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, 513194 + ... + 542630.

It is an arithmetic number, because the mean of its divisors is an integer number (568300590).

Almost surely, 2^15540145544 is an apocalyptic number.

15540145544 is a gapful number since it is divisible by the number (14) 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 15540145544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18185618880).

15540145544 is an abundant number, since it is smaller than the sum of its proper divisors (20831092216).

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

15540145544 is a wasteful number, since it uses less digits than its factorization.

15540145544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30318 (or 30314 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 38.

The spelling of 15540145544 in words is "fifteen billion, five hundred forty million, one hundred forty-five thousand, five hundred forty-four".