10135033360 has 80 divisors (see below), whose sum is σ = 24575427072. Its totient is φ = 3882700800.

The previous prime is 10135033309. The next prime is 10135033367. The reversal of 10135033360 is 6333053101.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10135033367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219495 + ... + 261625.

Almost surely, 2^10135033360 is an apocalyptic number.

10135033360 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 10135033360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12287713536).

10135033360 is an abundant number, since it is smaller than the sum of its proper divisors (14440393712).

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

10135033360 is a wasteful number, since it uses less digits than its factorization.

10135033360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42272 (or 42266 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 25.

Adding to 10135033360 its reverse (6333053101), we get a palindrome (16468086461).

The spelling of 10135033360 in words is "ten billion, one hundred thirty-five million, thirty-three thousand, three hundred sixty".