15668376388900 has 81 divisors (see below), whose sum is σ = 34147460971449. Its totient is φ = 6240354744960.

The previous prime is 15668376388877. The next prime is 15668376388909. The reversal of 15668376388900 is 988367386651.

The square root of 15668376388900 is 3958330.

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

It can be written as a sum of positive squares in 13 ways, for example, as 14807919787236 + 860456601664 = 3848106^2 + 927608^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 15668376388900.

It is not an unprimeable number, because it can be changed into a prime (15668376388909) 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, 10964573386 + ... + 10964574814.

Almost surely, 2^{15668376388900} is an apocalyptic number.

15668376388900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15668376388900 is the 3958330-th square number.

It is an amenable number.

15668376388900 is an abundant number, since it is smaller than the sum of its proper divisors (18479084582549).

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

15668376388900 is an frugal number, since it uses more digits than its factorization.

15668376388900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 70.

The spelling of 15668376388900 in words is "fifteen trillion, six hundred sixty-eight billion, three hundred seventy-six million, three hundred eighty-eight thousand, nine hundred".