10794249600 has 768 divisors, whose sum is σ = 40797388800. Its totient is φ = 2493849600.

The previous prime is 10794249553. The next prime is 10794249607. The reversal of 10794249600 is 694249701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10794249607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130051159 + ... + 130051241.

It is an arithmetic number, because the mean of its divisors is an integer number (53121600).

Almost surely, 2^10794249600 is an apocalyptic number.

10794249600 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 10794249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20398694400).

10794249600 is an abundant number, since it is smaller than the sum of its proper divisors (30003139200).

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

10794249600 is a wasteful number, since it uses less digits than its factorization.

10794249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 10794249600 in words is "ten billion, seven hundred ninety-four million, two hundred forty-nine thousand, six hundred".