10350032000 has 512 divisors, whose sum is σ = 33239531520. Its totient is φ = 3110400000.

The previous prime is 10350031981. The next prime is 10350032003. The reversal of 10350032000 is 23005301.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10350032003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38191865 + ... + 38192135.

It is an arithmetic number, because the mean of its divisors is an integer number (64920960).

Almost surely, 2^10350032000 is an apocalyptic number.

10350032000 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 10350032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16619765760).

10350032000 is an abundant number, since it is smaller than the sum of its proper divisors (22889499520).

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

10350032000 is a wasteful number, since it uses less digits than its factorization.

10350032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

Adding to 10350032000 its reverse (23005301), we get a palindrome (10373037301).

The spelling of 10350032000 in words is "ten billion, three hundred fifty million, thirty-two thousand".