10597298800 has 120 divisors (see below), whose sum is σ = 27826946640. Its totient is φ = 3846297600.

The previous prime is 10597298771. The next prime is 10597298809. The reversal of 10597298800 is 889279501.

It is a super-2 number, since 2×10597298800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10597298809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2695236 + ... + 2699164.

It is an arithmetic number, because the mean of its divisors is an integer number (231891222).

Almost surely, 2^10597298800 is an apocalyptic number.

10597298800 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 10597298800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13913473320).

10597298800 is an abundant number, since it is smaller than the sum of its proper divisors (17229647840).

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

10597298800 is a wasteful number, since it uses less digits than its factorization.

10597298800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 49.

The spelling of 10597298800 in words is "ten billion, five hundred ninety-seven million, two hundred ninety-eight thousand, eight hundred".