10286016400 has 135 divisors (see below), whose sum is σ = 27221996179. Its totient is φ = 3732256000.

The previous prime is 10286016397. The next prime is 10286016421. The reversal of 10286016400 is 461068201.

The square root of 10286016400 is 101420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1051575184 + 9234441216 = 32428^2 + 96096^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 22312170 + ... + 22312630.

Almost surely, 2^10286016400 is an apocalyptic number.

10286016400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10286016400 is the 101420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10286016400

10286016400 is an abundant number, since it is smaller than the sum of its proper divisors (16935979779).

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

10286016400 is an equidigital number, since it uses as much as digits as its factorization.

10286016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Multiplying 10286016400 by its product of nonzero digits (2304), we get a square (23698981785600 = 4868160²).

The spelling of 10286016400 in words is "ten billion, two hundred eighty-six million, sixteen thousand, four hundred".