15128571104640 has 512 divisors, whose sum is σ = 61443828633600. Its totient is φ = 3446149128192.

The previous prime is 15128571104623. The next prime is 15128571104641. The reversal of 15128571104640 is 4640117582151.

It is a happy number.

15128571104640 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 8 + 571 + 10 + 4 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15128571104641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35227849 + ... + 35654711.

It is an arithmetic number, because the mean of its divisors is an integer number (120007477800).

Almost surely, 2^{15128571104640} is an apocalyptic number.

15128571104640 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 15128571104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30721914316800).

15128571104640 is an abundant number, since it is smaller than the sum of its proper divisors (46315257528960).

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

15128571104640 is a wasteful number, since it uses less digits than its factorization.

15128571104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427191 (or 427173 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

Adding to 15128571104640 its reverse (4640117582151), we get a palindrome (19768688686791).

The spelling of 15128571104640 in words is "fifteen trillion, one hundred twenty-eight billion, five hundred seventy-one million, one hundred four thousand, six hundred forty".