10182868375680 has 2304 divisors, whose sum is σ = 48390716424960. Its totient is φ = 1939509411840.

The previous prime is 10182868375619. The next prime is 10182868375733. The reversal of 10182868375680 is 8657386828101.

10182868375680 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 2 + 8 + 68 + 3 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6336569437 + ... + 6336571043.

It is an arithmetic number, because the mean of its divisors is an integer number (21002915115).

Almost surely, 2^{10182868375680} is an apocalyptic number.

10182868375680 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 10182868375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24195358212480).

10182868375680 is an abundant number, since it is smaller than the sum of its proper divisors (38207848049280).

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

10182868375680 is a wasteful number, since it uses less digits than its factorization.

10182868375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 10182868375680 in words is "ten trillion, one hundred eighty-two billion, eight hundred sixty-eight million, three hundred seventy-five thousand, six hundred eighty".