10815897600 has 480 divisors, whose sum is σ = 40314772740. Its totient is φ = 2866544640.

The previous prime is 10815897583. The next prime is 10815897601. The reversal of 10815897600 is 679851801.

10815897600 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 589 + 7 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (10815897601) 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, 66355119 + ... + 66355281.

Almost surely, 2^10815897600 is an apocalyptic number.

10815897600 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 10815897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20157386370).

10815897600 is an abundant number, since it is smaller than the sum of its proper divisors (29498875140).

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

10815897600 is an frugal number, since it uses more digits than its factorization.

10815897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 10815897600 in words is "ten billion, eight hundred fifteen million, eight hundred ninety-seven thousand, six hundred".