10794516480 has 450 divisors, whose sum is σ = 41161577730. Its totient is φ = 2616852480.

The previous prime is 10794516433. The next prime is 10794516487. The reversal of 10794516480 is 8461549701.

10794516480 is a `hidden beast` number, since 1 + 0 + 7 + 94 + 516 + 48 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8635613184 + 2158903296 = 92928^2 + 46464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10794516487) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 981319675 + ... + 981319685.

Almost surely, 2^10794516480 is an apocalyptic number.

10794516480 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 10794516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20580788865).

10794516480 is an abundant number, since it is smaller than the sum of its proper divisors (30367061250).

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

10794516480 is an frugal number, since it uses more digits than its factorization.

10794516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

Multiplying 10794516480 by its sum of digits (45), we get a square (485753241600 = 696960²).

10794516480 divided by its sum of digits (45) gives a square (239878144 = 15488²).

The spelling of 10794516480 in words is "ten billion, seven hundred ninety-four million, five hundred sixteen thousand, four hundred eighty".