16761269892768 has 24 divisors (see below), whose sum is σ = 43998333468768. Its totient is φ = 5587089964224.

The previous prime is 16761269892749. The next prime is 16761269892791. The reversal of 16761269892768 is 86729896216761.

16761269892768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×16761269892768² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16761269892693 and 16761269892702.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87298280596 + ... + 87298280787.

It is an arithmetic number, because the mean of its divisors is an integer number (1833263894532).

Almost surely, 2^{16761269892768} is an apocalyptic number.

It is an amenable number.

16761269892768 is an abundant number, since it is smaller than the sum of its proper divisors (27237063576000).

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

16761269892768 is a wasteful number, since it uses less digits than its factorization.

16761269892768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174596561396 (or 174596561388 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 78.

The spelling of 16761269892768 in words is "sixteen trillion, seven hundred sixty-one billion, two hundred sixty-nine million, eight hundred ninety-two thousand, seven hundred sixty-eight".