10006250000 has 90 divisors (see below), whose sum is σ = 24249011022. Its totient is φ = 4000000000.

The previous prime is 10006249991. The next prime is 10006250011. The reversal of 10006250000 is 5260001.

It can be written as a sum of positive squares in 9 ways, for example, as 6885016576 + 3121233424 = 82976^2 + 55868^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6249200 + ... + 6250800.

Almost surely, 2^10006250000 is an apocalyptic number.

10006250000 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 10006250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12124505511).

10006250000 is an abundant number, since it is smaller than the sum of its proper divisors (14242761022).

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

10006250000 is an frugal number, since it uses more digits than its factorization.

10006250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The spelling of 10006250000 in words is "ten billion, six million, two hundred fifty thousand".