10283660408160 has 2304 divisors, whose sum is σ = 42283056291840. Its totient is φ = 2256289136640.

The previous prime is 10283660408149. The next prime is 10283660408299. The reversal of 10283660408160 is 6180406638201.

10283660408160 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 36 + 604 + 0 + 8 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56815803270 + ... + 56815803450.

It is an arithmetic number, because the mean of its divisors is an integer number (18352020960).

Almost surely, 2^{10283660408160} is an apocalyptic number.

10283660408160 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 10283660408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21141528145920).

10283660408160 is an abundant number, since it is smaller than the sum of its proper divisors (31999395883680).

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

10283660408160 is a wasteful number, since it uses less digits than its factorization.

10283660408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10283660408160 in words is "ten trillion, two hundred eighty-three billion, six hundred sixty million, four hundred eight thousand, one hundred sixty".