10359050400 has 216 divisors, whose sum is σ = 37030872060. Its totient is φ = 2724433920.

The previous prime is 10359050399. The next prime is 10359050411. The reversal of 10359050400 is 405095301.

10359050400 is a `hidden beast` number, since 103 + 59 + 0 + 504 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4126263696 + 6232786704 = 64236^2 + 78948^2 .

It is a super-3 number, since 3×10359050400³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 515746 + ... + 535454.

Almost surely, 2^10359050400 is an apocalyptic number.

10359050400 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 10359050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18515436030).

10359050400 is an abundant number, since it is smaller than the sum of its proper divisors (26671821660).

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

10359050400 is a wasteful number, since it uses less digits than its factorization.

10359050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19808 (or 19792 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 10359050400 in words is "ten billion, three hundred fifty-nine million, fifty thousand, four hundred".