10257399360 has 672 divisors, whose sum is σ = 40229454720. Its totient is φ = 2472394752.

The previous prime is 10257399359. The next prime is 10257399367. The reversal of 10257399360 is 6399375201.

10257399360 is a `hidden beast` number, since 1 + 0 + 257 + 39 + 9 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10257399367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73794171 + ... + 73794309.

It is an arithmetic number, because the mean of its divisors is an integer number (59865260).

Almost surely, 2^10257399360 is an apocalyptic number.

10257399360 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 10257399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20114727360).

10257399360 is an abundant number, since it is smaller than the sum of its proper divisors (29972055360).

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

10257399360 is a wasteful number, since it uses less digits than its factorization.

10257399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 10257399360 in words is "ten billion, two hundred fifty-seven million, three hundred ninety-nine thousand, three hundred sixty".