10144531760 has 160 divisors (see below), whose sum is σ = 27478241280. Its totient is φ = 3446553600.

The previous prime is 10144531753. The next prime is 10144531763. The reversal of 10144531760 is 6713544101.

It is not an unprimeable number, because it can be changed into a prime (10144531763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784709 + ... + 797531.

It is an arithmetic number, because the mean of its divisors is an integer number (171739008).

Almost surely, 2^10144531760 is an apocalyptic number.

10144531760 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 10144531760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13739120640).

10144531760 is an abundant number, since it is smaller than the sum of its proper divisors (17333709520).

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

10144531760 is a wasteful number, since it uses less digits than its factorization.

10144531760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12907 (or 12901 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 10144531760 in words is "ten billion, one hundred forty-four million, five hundred thirty-one thousand, seven hundred sixty".