15656016166656 has 288 divisors, whose sum is σ = 44099595251712. Its totient is φ = 4921007308800.

The previous prime is 15656016166631. The next prime is 15656016166657. The reversal of 15656016166656 is 65666161065651.

It is a super-2 number, since 2×15656016166656² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15656016166656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15656016166657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415668081 + ... + 415705743.

It is an arithmetic number, because the mean of its divisors is an integer number (153123594624).

Almost surely, 2^{15656016166656} is an apocalyptic number.

15656016166656 is a gapful number since it is divisible by the number (16) 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 15656016166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22049797625856).

15656016166656 is an abundant number, since it is smaller than the sum of its proper divisors (28443579085056).

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

15656016166656 is a wasteful number, since it uses less digits than its factorization.

15656016166656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38039 (or 38025 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 60.

The spelling of 15656016166656 in words is "fifteen trillion, six hundred fifty-six billion, sixteen million, one hundred sixty-six thousand, six hundred fifty-six".