10166203787904 has 192 divisors, whose sum is σ = 29369250456000. Its totient is φ = 3375445893120.

The previous prime is 10166203787899. The next prime is 10166203787923. The reversal of 10166203787904 is 40978730266101.

10166203787904 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 620 + 3 + 7 + 8 + 7 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 314736747 + ... + 314769045.

It is an arithmetic number, because the mean of its divisors is an integer number (152964846125).

Almost surely, 2^{10166203787904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10166203787904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14684625228000).

10166203787904 is an abundant number, since it is smaller than the sum of its proper divisors (19203046668096).

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

10166203787904 is a wasteful number, since it uses less digits than its factorization.

10166203787904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33383 (or 33368 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 10166203787904 in words is "ten trillion, one hundred sixty-six billion, two hundred three million, seven hundred eighty-seven thousand, nine hundred four".