10056010000 has 200 divisors, whose sum is σ = 26017140600. Its totient is φ = 3750912000.

The previous prime is 10056009991. The next prime is 10056010037. The reversal of 10056010000 is 1065001.

It can be written as a sum of positive squares in 20 ways, for example, as 9898658064 + 157351936 = 99492^2 + 12544^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×10056010000² (a number of 21 digits) contains 22 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 39 ways as a sum of consecutive naturals, for example, 25329802 + ... + 25330198.

It is an arithmetic number, because the mean of its divisors is an integer number (130085703).

Almost surely, 2^10056010000 is an apocalyptic number.

10056010000 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 10056010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13008570300).

10056010000 is an abundant number, since it is smaller than the sum of its proper divisors (15961130600).

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

10056010000 is a wasteful number, since it uses less digits than its factorization.

10056010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

Adding to 10056010000 its reverse (1065001), we get a palindrome (10057075001).

The spelling of 10056010000 in words is "ten billion, fifty-six million, ten thousand".