15120025560640 has 896 divisors, whose sum is σ = 50739463176192. Its totient is φ = 4136676065280.

The previous prime is 15120025560517. The next prime is 15120025560671. The reversal of 15120025560640 is 4606552002151.

It is a self number, because there is not a number n which added to its sum of digits gives 15120025560640.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1274547349 + ... + 1274559211.

It is an arithmetic number, because the mean of its divisors is an integer number (56628865152).

Almost surely, 2^{15120025560640} is an apocalyptic number.

15120025560640 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 15120025560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25369731588096).

15120025560640 is an abundant number, since it is smaller than the sum of its proper divisors (35619437615552).

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

15120025560640 is a wasteful number, since it uses less digits than its factorization.

15120025560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12107 (or 12097 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 15120025560640 its reverse (4606552002151), we get a palindrome (19726577562791).

The spelling of 15120025560640 in words is "fifteen trillion, one hundred twenty billion, twenty-five million, five hundred sixty thousand, six hundred forty".