10797825600 has 252 divisors, whose sum is σ = 39316220580. Its totient is φ = 2809036800.

The previous prime is 10797825583. The next prime is 10797825607. The reversal of 10797825600 is 652879701.

10797825600 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 7 + 82 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 88059456 + 10709766144 = 9384^2 + 103488^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10797825607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 581256 + ... + 599544.

Almost surely, 2^10797825600 is an apocalyptic number.

10797825600 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 10797825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19658110290).

10797825600 is an abundant number, since it is smaller than the sum of its proper divisors (28518394980).

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

10797825600 is a wasteful number, since it uses less digits than its factorization.

10797825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18358 (or 18340 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10797825600 in words is "ten billion, seven hundred ninety-seven million, eight hundred twenty-five thousand, six hundred".