16506891962496 has 192 divisors, whose sum is σ = 51320810661120. Its totient is φ = 5062498154496.

The previous prime is 16506891962479. The next prime is 16506891962563. The reversal of 16506891962496 is 69426919860561.

16506891962496 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 68 + 9 + 19 + 62 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2802481 + ... + 6392783.

It is an arithmetic number, because the mean of its divisors is an integer number (267295888860).

Almost surely, 2^{16506891962496} is an apocalyptic number.

16506891962496 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 16506891962496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25660405330560).

16506891962496 is an abundant number, since it is smaller than the sum of its proper divisors (34813918698624).

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

16506891962496 is a wasteful number, since it uses less digits than its factorization.

16506891962496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590643 (or 3590628 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 16506891962496 in words is "sixteen trillion, five hundred six billion, eight hundred ninety-one million, nine hundred sixty-two thousand, four hundred ninety-six".