10164255222000 has 1280 divisors, whose sum is σ = 38442068121600. Its totient is φ = 2283282432000.

The previous prime is 10164255221977. The next prime is 10164255222013. The reversal of 10164255222000 is 22255246101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 27250013814 + ... + 27250014186.

It is an arithmetic number, because the mean of its divisors is an integer number (30032865720).

Almost surely, 2^{10164255222000} is an apocalyptic number.

10164255222000 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 10164255222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19221034060800).

10164255222000 is an abundant number, since it is smaller than the sum of its proper divisors (28277812899600).

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

10164255222000 is a wasteful number, since it uses less digits than its factorization.

10164255222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 10164255222000 in words is "ten trillion, one hundred sixty-four billion, two hundred fifty-five million, two hundred twenty-two thousand".