10351945800 has 864 divisors, whose sum is σ = 43930224000. Its totient is φ = 2263282560.

The previous prime is 10351945781. The next prime is 10351945811. The reversal of 10351945800 is 854915301.

It is a super-2 number, since 2×10351945800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 450084589 + ... + 450084611.

Almost surely, 2^10351945800 is an apocalyptic number.

10351945800 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 10351945800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21965112000).

10351945800 is an abundant number, since it is smaller than the sum of its proper divisors (33578278200).

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

10351945800 is an frugal number, since it uses more digits than its factorization.

10351945800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 10351945800 in words is "ten billion, three hundred fifty-one million, nine hundred forty-five thousand, eight hundred".