10796138496 has 288 divisors, whose sum is σ = 36641437560. Its totient is φ = 3019898880.

The previous prime is 10796138449. The next prime is 10796138513. The reversal of 10796138496 is 69483169701.

10796138496 is a `hidden beast` number, since 10 + 7 + 9 + 6 + 138 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 830472186 + ... + 830472198.

Almost surely, 2^10796138496 is an apocalyptic number.

10796138496 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 10796138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320718780).

10796138496 is an abundant number, since it is smaller than the sum of its proper divisors (25845299064).

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

10796138496 is an frugal number, since it uses more digits than its factorization.

10796138496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10796138496 in words is "ten billion, seven hundred ninety-six million, one hundred thirty-eight thousand, four hundred ninety-six".