10857232647360 has 896 divisors, whose sum is σ = 42056898969600. Its totient is φ = 2614930698240.

The previous prime is 10857232647353. The next prime is 10857232647361. The reversal of 10857232647360 is 6374623275801.

It is a happy number.

10857232647360 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 7 + 232 + 6 + 47 + 360 = 666.

It is a super-2 number, since 2×10857232647360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10857232647297 and 10857232647306.

It is not an unprimeable number, because it can be changed into a prime (10857232647361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13795720887 + ... + 13795721673.

Almost surely, 2^{10857232647360} is an apocalyptic number.

10857232647360 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 10857232647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21028449484800).

10857232647360 is an abundant number, since it is smaller than the sum of its proper divisors (31199666322240).

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

10857232647360 is a wasteful number, since it uses less digits than its factorization.

10857232647360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 10857232647360 in words is "ten trillion, eight hundred fifty-seven billion, two hundred thirty-two million, six hundred forty-seven thousand, three hundred sixty".