10092212064 has 192 divisors, whose sum is σ = 33802272000. Its totient is φ = 2897233920.

The previous prime is 10092212047. The next prime is 10092212069. The reversal of 10092212064 is 46021229001.

10092212064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10092212069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152632 + ... + 208520.

It is an arithmetic number, because the mean of its divisors is an integer number (176053500).

Almost surely, 2^10092212064 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 10092212064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16901136000).

10092212064 is an abundant number, since it is smaller than the sum of its proper divisors (23710059936).

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

10092212064 is a wasteful number, since it uses less digits than its factorization.

10092212064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55938 (or 55924 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10092212064 in words is "ten billion, ninety-two million, two hundred twelve thousand, sixty-four".