15666242142100 has 144 divisors (see below), whose sum is σ = 38701833924096. Its totient is φ = 5448688432000.

The previous prime is 15666242142097. The next prime is 15666242142127. The reversal of 15666242142100 is 124124266651.

It is a super-2 number, since 2×15666242142100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582569655 + ... + 582596545.

It is an arithmetic number, because the mean of its divisors is an integer number (268762735584).

Almost surely, 2^{15666242142100} is an apocalyptic number.

15666242142100 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 15666242142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19350916962048).

15666242142100 is an abundant number, since it is smaller than the sum of its proper divisors (23035591781996).

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

15666242142100 is a wasteful number, since it uses less digits than its factorization.

15666242142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49966 (or 49959 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 15666242142100 in words is "fifteen trillion, six hundred sixty-six billion, two hundred forty-two million, one hundred forty-two thousand, one hundred".