10406250016 has 48 divisors (see below), whose sum is σ = 21203615160. Its totient is φ = 5023825920.

The previous prime is 10406250007. The next prime is 10406250017. The reversal of 10406250016 is 61005260401.

It can be written as a sum of positive squares in 4 ways, for example, as 4006890000 + 6399360016 = 63300^2 + 79996^2 .

It is not an unprimeable number, because it can be changed into a prime (10406250017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86380 + ... + 168148.

Almost surely, 2^10406250016 is an apocalyptic number.

10406250016 is a gapful number since it is divisible by the number (16) 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 10406250016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10601807580).

10406250016 is an abundant number, since it is smaller than the sum of its proper divisors (10797365144).

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

10406250016 is an equidigital number, since it uses as much as digits as its factorization.

10406250016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81917 (or 81909 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 10406250016 in words is "ten billion, four hundred six million, two hundred fifty thousand, sixteen".