10355518000 has 80 divisors (see below), whose sum is σ = 25622172576. Its totient is φ = 4045843200.

The previous prime is 10355517973. The next prime is 10355518001. The reversal of 10355518000 is 81555301.

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

It is a super-3 number, since 3×10355518000³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10355518000.

It is not an unprimeable number, because it can be changed into a prime (10355518001) 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, 25794 + ... + 146206.

Almost surely, 2^10355518000 is an apocalyptic number.

10355518000 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 10355518000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12811086288).

10355518000 is an abundant number, since it is smaller than the sum of its proper divisors (15266654576).

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

10355518000 is a wasteful number, since it uses less digits than its factorization.

10355518000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120479 (or 120463 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

The spelling of 10355518000 in words is "ten billion, three hundred fifty-five million, five hundred eighteen thousand".