10050864400 has 30 divisors (see below), whose sum is σ = 24147202682. Its totient is φ = 4020345600.

The previous prime is 10050864379. The next prime is 10050864407. The reversal of 10050864400 is 446805001.

It can be written as a sum of positive squares in 3 ways, for example, as 1277919504 + 8772944896 = 35748^2 + 93664^2 .

It is not an unprimeable number, because it can be changed into a prime (10050864407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 12563181 + ... + 12563980.

Almost surely, 2^10050864400 is an apocalyptic number.

10050864400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10050864400 is an abundant number, since it is smaller than the sum of its proper divisors (14096338282).

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

10050864400 is a wasteful number, since it uses less digits than its factorization.

10050864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25127179 (or 25127168 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 10050864400 in words is "ten billion, fifty million, eight hundred sixty-four thousand, four hundred".