16395768260976 has 640 divisors, whose sum is σ = 50516766720000. Its totient is φ = 4539156185088.

The previous prime is 16395768260887. The next prime is 16395768261017. The reversal of 16395768260976 is 67906286759361.

It is a junction number, because it is equal to n+sod(n) for n = 16395768260898 and 16395768260907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32857250775 + ... + 32857251273.

It is an arithmetic number, because the mean of its divisors is an integer number (78932448000).

Almost surely, 2^{16395768260976} is an apocalyptic number.

16395768260976 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 16395768260976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25258383360000).

16395768260976 is an abundant number, since it is smaller than the sum of its proper divisors (34120998459024).

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

16395768260976 is a wasteful number, since it uses less digits than its factorization.

16395768260976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 75.

The spelling of 16395768260976 in words is "sixteen trillion, three hundred ninety-five billion, seven hundred sixty-eight million, two hundred sixty thousand, nine hundred seventy-six".