10220239846992 has 240 divisors, whose sum is σ = 32377179781440. Its totient is φ = 2762286299136.

The previous prime is 10220239846913. The next prime is 10220239847009. The reversal of 10220239846992 is 29964893202201.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30084868 + ... + 30422684.

It is an arithmetic number, because the mean of its divisors is an integer number (134904915756).

Almost surely, 2^{10220239846992} is an apocalyptic number.

10220239846992 is a gapful number since it is divisible by the number (12) 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 10220239846992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16188589890720).

10220239846992 is an abundant number, since it is smaller than the sum of its proper divisors (22156939934448).

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

10220239846992 is a wasteful number, since it uses less digits than its factorization.

10220239846992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338538 (or 338525 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 10220239846992 in words is "ten trillion, two hundred twenty billion, two hundred thirty-nine million, eight hundred forty-six thousand, nine hundred ninety-two".