10457280000 has 300 divisors, whose sum is σ = 37723837008. Its totient is φ = 2787840000.

The previous prime is 10457279929. The next prime is 10457280011. The reversal of 10457280000 is 8275401.

10457280000 is a `hidden beast` number, since 10 + 4 + 572 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2878185 + ... + 2881815.

Almost surely, 2^10457280000 is an apocalyptic number.

10457280000 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 10457280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18861918504).

10457280000 is an abundant number, since it is smaller than the sum of its proper divisors (27266557008).

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

10457280000 is an frugal number, since it uses more digits than its factorization.

10457280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 10457280000 in words is "ten billion, four hundred fifty-seven million, two hundred eighty thousand".