10257719472 has 400 divisors, whose sum is σ = 39866948352. Its totient is φ = 2459082240.

The previous prime is 10257719447. The next prime is 10257719491. The reversal of 10257719472 is 27491775201.

10257719472 is a `hidden beast` number, since 1 + 0 + 2 + 577 + 1 + 9 + 4 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1293343 + ... + 1301249.

Almost surely, 2^10257719472 is an apocalyptic number.

10257719472 is a gapful number since it is divisible by the number (12) 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 10257719472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19933474176).

10257719472 is an abundant number, since it is smaller than the sum of its proper divisors (29609228880).

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

10257719472 is a wasteful number, since it uses less digits than its factorization.

10257719472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 7943 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 10257719472 in words is "ten billion, two hundred fifty-seven million, seven hundred nineteen thousand, four hundred seventy-two".