10857460320 has 480 divisors, whose sum is σ = 46103904000. Its totient is φ = 2350715904.

The previous prime is 10857460283. The next prime is 10857460321. The reversal of 10857460320 is 2306475801.

10857460320 is a `hidden beast` number, since 1 + 0 + 8 + 574 + 60 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10857460321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1720531 + ... + 1726829.

It is an arithmetic number, because the mean of its divisors is an integer number (96049800).

Almost surely, 2^10857460320 is an apocalyptic number.

10857460320 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 10857460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23051952000).

10857460320 is an abundant number, since it is smaller than the sum of its proper divisors (35246443680).

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

10857460320 is a wasteful number, since it uses less digits than its factorization.

10857460320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10857460320 in words is "ten billion, eight hundred fifty-seven million, four hundred sixty thousand, three hundred twenty".