10485210120 has 192 divisors, whose sum is σ = 39917966400. Its totient is φ = 2178731520.

The previous prime is 10485210103. The next prime is 10485210121. The reversal of 10485210120 is 2101258401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10485210121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16375 + ... + 145734.

It is an arithmetic number, because the mean of its divisors is an integer number (207906075).

Almost surely, 2^10485210120 is an apocalyptic number.

10485210120 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 10485210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958983200).

10485210120 is an abundant number, since it is smaller than the sum of its proper divisors (29432756280).

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

10485210120 is a wasteful number, since it uses less digits than its factorization.

10485210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162148 (or 162137 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 10485210120 its reverse (2101258401), we get a palindrome (12586468521).

The spelling of 10485210120 in words is "ten billion, four hundred eighty-five million, two hundred ten thousand, one hundred twenty".