15575065440 has 576 divisors, whose sum is σ = 58152971520. Its totient is φ = 3473244160.

The previous prime is 15575065393. The next prime is 15575065447. The reversal of 15575065440 is 4456057551.

It is a junction number, because it is equal to n+sod(n) for n = 15575065392 and 15575065401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15575065447) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 90029194 + ... + 90029366.

It is an arithmetic number, because the mean of its divisors is an integer number (100960020).

Almost surely, 2^15575065440 is an apocalyptic number.

15575065440 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 15575065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29076485760).

15575065440 is an abundant number, since it is smaller than the sum of its proper divisors (42577906080).

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

15575065440 is a wasteful number, since it uses less digits than its factorization.

15575065440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 42.

The spelling of 15575065440 in words is "fifteen billion, five hundred seventy-five million, sixty-five thousand, four hundred forty".