10185406166880 has 1536 divisors, whose sum is σ = 42086474035200. Its totient is φ = 2253019152384.

The previous prime is 10185406166821. The next prime is 10185406166917. The reversal of 10185406166880 is 8866160458101.

10185406166880 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 540 + 6 + 16 + 6 + 8 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32541233604 + ... + 32541233916.

It is an arithmetic number, because the mean of its divisors is an integer number (27400048200).

Almost surely, 2^{10185406166880} is an apocalyptic number.

10185406166880 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 10185406166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21043237017600).

10185406166880 is an abundant number, since it is smaller than the sum of its proper divisors (31901067868320).

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

10185406166880 is a wasteful number, since it uses less digits than its factorization.

10185406166880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 10185406166880 in words is "ten trillion, one hundred eighty-five billion, four hundred six million, one hundred sixty-six thousand, eight hundred eighty".