10210368168000 has 5376 divisors, whose sum is σ = 52271575050240. Its totient is φ = 1921480704000.

The previous prime is 10210368167983. The next prime is 10210368168067. The reversal of 10210368168000 is 86186301201.

10210368168000 is a `hidden beast` number, since 1 + 0 + 210 + 368 + 1 + 6 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×10210368168000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 192648455974 + ... + 192648456026.

It is an arithmetic number, because the mean of its divisors is an integer number (9723135240).

Almost surely, 2^{10210368168000} is an apocalyptic number.

10210368168000 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 10210368168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26135787525120).

10210368168000 is an abundant number, since it is smaller than the sum of its proper divisors (42061206882240).

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

10210368168000 is an equidigital number, since it uses as much as digits as its factorization.

10210368168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10210368168000 in words is "ten trillion, two hundred ten billion, three hundred sixty-eight million, one hundred sixty-eight thousand".