10457159680 has 384 divisors, whose sum is σ = 29889699840. Its totient is φ = 3468165120.

The previous prime is 10457159651. The next prime is 10457159681. The reversal of 10457159680 is 8695175401.

It is a self number, because there is not a number n which added to its sum of digits gives 10457159680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457159681) 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, 82339777 + ... + 82339903.

It is an arithmetic number, because the mean of its divisors is an integer number (77837760).

Almost surely, 2^10457159680 is an apocalyptic number.

10457159680 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 10457159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944849920).

10457159680 is an abundant number, since it is smaller than the sum of its proper divisors (19432540160).

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

10457159680 is a wasteful number, since it uses less digits than its factorization.

10457159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 10457159680 in words is "ten billion, four hundred fifty-seven million, one hundred fifty-nine thousand, six hundred eighty".