16261835776032 has 576 divisors, whose sum is σ = 54108659404800. Its totient is φ = 4185774489600.

The previous prime is 16261835776019. The next prime is 16261835776051. The reversal of 16261835776032 is 23067753816261.

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 95 ways as a sum of consecutive naturals, for example, 8691520057 + ... + 8691521927.

It is an arithmetic number, because the mean of its divisors is an integer number (93938644800).

Almost surely, 2^{16261835776032} is an apocalyptic number.

16261835776032 is a gapful number since it is divisible by the number (12) 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 16261835776032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27054329702400).

16261835776032 is an abundant number, since it is smaller than the sum of its proper divisors (37846823628768).

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

16261835776032 is a wasteful number, since it uses less digits than its factorization.

16261835776032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 16261835776032 in words is "sixteen trillion, two hundred sixty-one billion, eight hundred thirty-five million, seven hundred seventy-six thousand, thirty-two".