15869142290016 has 576 divisors, whose sum is σ = 51700936996800. Its totient is φ = 4592841523200.

The previous prime is 15869142290009. The next prime is 15869142290051. The reversal of 15869142290016 is 61009224196851.

15869142290016 is a `hidden beast` number, since 1 + 586 + 9 + 1 + 42 + 2 + 9 + 0 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240696736 + ... + 240762656.

It is an arithmetic number, because the mean of its divisors is an integer number (89758571175).

Almost surely, 2^{15869142290016} is an apocalyptic number.

15869142290016 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 15869142290016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25850468498400).

15869142290016 is an abundant number, since it is smaller than the sum of its proper divisors (35831794706784).

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

15869142290016 is a wasteful number, since it uses less digits than its factorization.

15869142290016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66063 (or 66052 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 15869142290016 in words is "fifteen trillion, eight hundred sixty-nine billion, one hundred forty-two million, two hundred ninety thousand, sixteen".