10180805386752 has 2560 divisors, whose sum is σ = 42427364474880. Its totient is φ = 2354149785600.

The previous prime is 10180805386747. The next prime is 10180805386769. The reversal of 10180805386752 is 25768350808101.

10180805386752 is a `hidden beast` number, since 1 + 0 + 180 + 80 + 5 + 386 + 7 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34746775918 + ... + 34746776210.

It is an arithmetic number, because the mean of its divisors is an integer number (16573189248).

Almost surely, 2^{10180805386752} is an apocalyptic number.

10180805386752 is a gapful number since it is divisible by the number (12) 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 10180805386752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21213682237440).

10180805386752 is an abundant number, since it is smaller than the sum of its proper divisors (32246559088128).

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

10180805386752 is an equidigital number, since it uses as much as digits as its factorization.

10180805386752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 10180805386752 in words is "ten trillion, one hundred eighty billion, eight hundred five million, three hundred eighty-six thousand, seven hundred fifty-two".