15680142753856 has 189 divisors, whose sum is σ = 37416988798461. Its totient is φ = 6500433945600.

The previous prime is 15680142753853. The next prime is 15680142753901. The reversal of 15680142753856 is 65835724108651.

The square root of 15680142753856 is 3959816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9430942728256 + 6249200025600 = 3070984^2 + 2499840^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15680142753794 and 15680142753803.

It is not an unprimeable number, because it can be changed into a prime (15680142753853) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6874239436 + ... + 6874241716.

Almost surely, 2^{15680142753856} is an apocalyptic number.

15680142753856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15680142753856 is the 3959816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15680142753856

15680142753856 is an abundant number, since it is smaller than the sum of its proper divisors (21736846044605).

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

15680142753856 is an frugal number, since it uses more digits than its factorization.

15680142753856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 61.

The spelling of 15680142753856 in words is "fifteen trillion, six hundred eighty billion, one hundred forty-two million, seven hundred fifty-three thousand, eight hundred fifty-six".