15606346242760 has 768 divisors, whose sum is σ = 47066274201600. Its totient is φ = 4549121740800.

The previous prime is 15606346242713. The next prime is 15606346242827. The reversal of 15606346242760 is 6724264360651.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 15606346242698 and 15606346242707.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3020385697 + ... + 3020390863.

It is an arithmetic number, because the mean of its divisors is an integer number (61284211200).

Almost surely, 2^{15606346242760} is an apocalyptic number.

15606346242760 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 15606346242760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23533137100800).

15606346242760 is an abundant number, since it is smaller than the sum of its proper divisors (31459927958840).

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

15606346242760 is a wasteful number, since it uses less digits than its factorization.

15606346242760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 52.

The spelling of 15606346242760 in words is "fifteen trillion, six hundred six billion, three hundred forty-six million, two hundred forty-two thousand, seven hundred sixty".