10857424354560 has 864 divisors, whose sum is σ = 44074019808000. Its totient is φ = 2415948595200.

The previous prime is 10857424354549. The next prime is 10857424354583. The reversal of 10857424354560 is 6545342475801.

10857424354560 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 7 + 4 + 24 + 3 + 54 + 560 = 666.

It is a super-2 number, since 2×10857424354560² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10857424354497 and 10857424354506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1649810470 + ... + 1649817050.

It is an arithmetic number, because the mean of its divisors is an integer number (51011597000).

Almost surely, 2^{10857424354560} is an apocalyptic number.

10857424354560 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 10857424354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22037009904000).

10857424354560 is an abundant number, since it is smaller than the sum of its proper divisors (33216595453440).

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

10857424354560 is a wasteful number, since it uses less digits than its factorization.

10857424354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7155 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 10857424354560 in words is "ten trillion, eight hundred fifty-seven billion, four hundred twenty-four million, three hundred fifty-four thousand, five hundred sixty".