10457088000 has 512 divisors, whose sum is σ = 37295182080. Its totient is φ = 2595225600.

The previous prime is 10457087987. The next prime is 10457088001. The reversal of 10457088000 is 88075401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457088001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282623982 + ... + 282624018.

Almost surely, 2^10457088000 is an apocalyptic number.

10457088000 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 10457088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18647591040).

10457088000 is an abundant number, since it is smaller than the sum of its proper divisors (26838094080).

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

10457088000 is an frugal number, since it uses more digits than its factorization.

10457088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 10457088000 in words is "ten billion, four hundred fifty-seven million, eighty-eight thousand".