10257039360 has 432 divisors, whose sum is σ = 37295608896. Its totient is φ = 2604662784.

The previous prime is 10257039343. The next prime is 10257039361. The reversal of 10257039360 is 6393075201.

10257039360 is a `hidden beast` number, since 10 + 257 + 0 + 39 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10257039361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218234857 + ... + 218234903.

It is an arithmetic number, because the mean of its divisors is an integer number (86332428).

Almost surely, 2^10257039360 is an apocalyptic number.

10257039360 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 10257039360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18647804448).

10257039360 is an abundant number, since it is smaller than the sum of its proper divisors (27038569536).

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

10257039360 is an frugal number, since it uses more digits than its factorization.

10257039360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 10257039360 in words is "ten billion, two hundred fifty-seven million, thirty-nine thousand, three hundred sixty".