10210496325120 has 1280 divisors, whose sum is σ = 44836210298880. Its totient is φ = 2144748699648.

The previous prime is 10210496325119. The next prime is 10210496325131. The reversal of 10210496325120 is 2152369401201.

10210496325120 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 4 + 9 + 632 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1465547877 + ... + 1465554843.

It is an arithmetic number, because the mean of its divisors is an integer number (35028289296).

Almost surely, 2^{10210496325120} is an apocalyptic number.

10210496325120 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 10210496325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22418105149440).

10210496325120 is an abundant number, since it is smaller than the sum of its proper divisors (34625713973760).

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

10210496325120 is a wasteful number, since it uses less digits than its factorization.

10210496325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10210496325120 in words is "ten trillion, two hundred ten billion, four hundred ninety-six million, three hundred twenty-five thousand, one hundred twenty".