15986122416 has 480 divisors, whose sum is σ = 54076538880. Its totient is φ = 4520966400.

The previous prime is 15986122387. The next prime is 15986122421. The reversal of 15986122416 is 61422168951.

15986122416 is a `hidden beast` number, since 1 + 5 + 9 + 8 + 612 + 24 + 1 + 6 = 666.

It is a super-2 number, since 2×15986122416² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83696881 + ... + 83697071.

It is an arithmetic number, because the mean of its divisors is an integer number (112659456).

Almost surely, 2^15986122416 is an apocalyptic number.

15986122416 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 15986122416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27038269440).

15986122416 is an abundant number, since it is smaller than the sum of its proper divisors (38090416464).

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

15986122416 is a wasteful number, since it uses less digits than its factorization.

15986122416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 15986122416 in words is "fifteen billion, nine hundred eighty-six million, one hundred twenty-two thousand, four hundred sixteen".