16796610779400 has 288 divisors, whose sum is σ = 60274735864200. Its totient is φ = 4176943718400.

The previous prime is 16796610779369. The next prime is 16796610779411. The reversal of 16796610779400 is 497701669761.

16796610779400 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 6 + 610 + 7 + 7 + 9 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4437687722724 + 12358923056676 = 2106582^2 + 3515526^2 .

It is a super-2 number, since 2×16796610779400² (a number of 27 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 817470 + ... + 5853330.

Almost surely, 2^{16796610779400} is an apocalyptic number.

16796610779400 is a gapful number since it is divisible by the number (10) 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 16796610779400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30137367932100).

16796610779400 is an abundant number, since it is smaller than the sum of its proper divisors (43478125084800).

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

16796610779400 is a wasteful number, since it uses less digits than its factorization.

16796610779400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036009 (or 5035997 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 16796610779400 in words is "sixteen trillion, seven hundred ninety-six billion, six hundred ten million, seven hundred seventy-nine thousand, four hundred".