16279140012768 has 96 divisors (see below), whose sum is σ = 47689992241920. Its totient is φ = 5402475181440.

The previous prime is 16279140012749. The next prime is 16279140012827. The reversal of 16279140012768 is 86721004197261.

16279140012768 is a `hidden beast` number, since 1 + 6 + 27 + 91 + 400 + 127 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41305188 + ... + 41697443.

It is an arithmetic number, because the mean of its divisors is an integer number (496770752520).

Almost surely, 2^{16279140012768} is an apocalyptic number.

16279140012768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16279140012768 is an abundant number, since it is smaller than the sum of its proper divisors (31410852229152).

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

16279140012768 is a wasteful number, since it uses less digits than its factorization.

16279140012768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83002877 (or 83002863 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 16279140012768 in words is "sixteen trillion, two hundred seventy-nine billion, one hundred forty million, twelve thousand, seven hundred sixty-eight".