16516883087496 has 1024 divisors, whose sum is σ = 57442867200000. Its totient is φ = 4330751754240.

The previous prime is 16516883087489. The next prime is 16516883087503. The reversal of 16516883087496 is 69478038861561.

16516883087496 is a `hidden beast` number, since 1 + 6 + 5 + 168 + 8 + 308 + 74 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (16516883087489) and next prime (16516883087503).

It is a super-2 number, since 2×16516883087496² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20416418740 + ... + 20416419548.

It is an arithmetic number, because the mean of its divisors is an integer number (56096550000).

Almost surely, 2^{16516883087496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16516883087496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28721433600000).

16516883087496 is an abundant number, since it is smaller than the sum of its proper divisors (40925984112504).

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

16516883087496 is a wasteful number, since it uses less digits than its factorization.

16516883087496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 16516883087496 in words is "sixteen trillion, five hundred sixteen billion, eight hundred eighty-three million, eighty-seven thousand, four hundred ninety-six".