10899135469600 has 288 divisors, whose sum is σ = 31737946141440. Its totient is φ = 3573558743040.

The previous prime is 10899135469571. The next prime is 10899135469609. The reversal of 10899135469600 is 696453199801.

It is not an unprimeable number, because it can be changed into a prime (10899135469609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 864112894 + ... + 864125506.

It is an arithmetic number, because the mean of its divisors is an integer number (110201201880).

Almost surely, 2^{10899135469600} is an apocalyptic number.

10899135469600 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 10899135469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15868973070720).

10899135469600 is an abundant number, since it is smaller than the sum of its proper divisors (20838810671840).

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

10899135469600 is a wasteful number, since it uses less digits than its factorization.

10899135469600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19372 (or 19359 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 61.

The spelling of 10899135469600 in words is "ten trillion, eight hundred ninety-nine billion, one hundred thirty-five million, four hundred sixty-nine thousand, six hundred".