10257753215360 has 256 divisors, whose sum is σ = 28319957475840. Its totient is φ = 3480086495232.

The previous prime is 10257753215207. The next prime is 10257753215389. The reversal of 10257753215360 is 6351235775201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434767724 + ... + 434791316.

It is an arithmetic number, because the mean of its divisors is an integer number (110624833890).

Almost surely, 2^{10257753215360} is an apocalyptic number.

10257753215360 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 10257753215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14159978737920).

10257753215360 is an abundant number, since it is smaller than the sum of its proper divisors (18062204260480).

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

10257753215360 is a wasteful number, since it uses less digits than its factorization.

10257753215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24633 (or 24621 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 47.

The spelling of 10257753215360 in words is "ten trillion, two hundred fifty-seven billion, seven hundred fifty-three million, two hundred fifteen thousand, three hundred sixty".