10897536000 has 704 divisors, whose sum is σ = 40772309760. Its totient is φ = 2565734400.

The previous prime is 10897535983. The next prime is 10897536007. The reversal of 10897536000 is 63579801.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10897536000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10897536007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184703971 + ... + 184704029.

Almost surely, 2^10897536000 is an apocalyptic number.

10897536000 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 10897536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20386154880).

10897536000 is an abundant number, since it is smaller than the sum of its proper divisors (29874773760).

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

10897536000 is a wasteful number, since it uses less digits than its factorization.

10897536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 10897536000 in words is "ten billion, eight hundred ninety-seven million, five hundred thirty-six thousand".