10273721000 has 64 divisors (see below), whose sum is σ = 24058831680. Its totient is φ = 4106356800.

The previous prime is 10273720999. The next prime is 10273721009. The reversal of 10273721000 is 12737201.

It is not an unprimeable number, because it can be changed into a prime (10273721009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1663919 + ... + 1670081.

It is an arithmetic number, because the mean of its divisors is an integer number (375919245).

Almost surely, 2^10273721000 is an apocalyptic number.

10273721000 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 10273721000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029415840).

10273721000 is an abundant number, since it is smaller than the sum of its proper divisors (13785110680).

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

10273721000 is a wasteful number, since it uses less digits than its factorization.

10273721000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7851 (or 7837 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The spelling of 10273721000 in words is "ten billion, two hundred seventy-three million, seven hundred twenty-one thousand".