10168892046720 has 640 divisors, whose sum is σ = 40207747852800. Its totient is φ = 2428383006720.

The previous prime is 10168892046713. The next prime is 10168892046791. The reversal of 10168892046720 is 2764029886101.

It is a happy number.

10168892046720 is a `hidden beast` number, since 1 + 0 + 1 + 68 + 89 + 20 + 467 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38073001 + ... + 38339159.

It is an arithmetic number, because the mean of its divisors is an integer number (62824606020).

Almost surely, 2^{10168892046720} is an apocalyptic number.

10168892046720 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 10168892046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20103873926400).

10168892046720 is an abundant number, since it is smaller than the sum of its proper divisors (30038855806080).

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

10168892046720 is a wasteful number, since it uses less digits than its factorization.

10168892046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266268 (or 266247 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10168892046720 in words is "ten trillion, one hundred sixty-eight billion, eight hundred ninety-two million, forty-six thousand, seven hundred twenty".