10284717108960 has 1152 divisors, whose sum is σ = 42225994137600. Its totient is φ = 2315469348864.

The previous prime is 10284717108943. The next prime is 10284717108983. The reversal of 10284717108960 is 6980171748201.

10284717108960 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 471 + 7 + 108 + 9 + 60 = 666.

10284717108960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10284717108960² (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 = 10284717108897 and 10284717108906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5150082682 + ... + 5150084678.

It is an arithmetic number, because the mean of its divisors is an integer number (36654508800).

Almost surely, 2^{10284717108960} is an apocalyptic number.

10284717108960 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 10284717108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21112997068800).

10284717108960 is an abundant number, since it is smaller than the sum of its proper divisors (31941277028640).

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

10284717108960 is a wasteful number, since it uses less digits than its factorization.

10284717108960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 10284717108960 in words is "ten trillion, two hundred eighty-four billion, seven hundred seventeen million, one hundred eight thousand, nine hundred sixty".