10262595120 has 80 divisors (see below), whose sum is σ = 31867603200. Its totient is φ = 2732084992.

The previous prime is 10262595067. The next prime is 10262595131. The reversal of 10262595120 is 2159526201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108067 + ... + 179453.

It is an arithmetic number, because the mean of its divisors is an integer number (398345040).

Almost surely, 2^10262595120 is an apocalyptic number.

10262595120 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 10262595120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15933801600).

10262595120 is an abundant number, since it is smaller than the sum of its proper divisors (21605008080).

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

10262595120 is a wasteful number, since it uses less digits than its factorization.

10262595120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72002 (or 71996 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

It can be divided in two parts, 10262595 and 120, that added together give a triangular number (10262715 = T₄₅₃₀).

The spelling of 10262595120 in words is "ten billion, two hundred sixty-two million, five hundred ninety-five thousand, one hundred twenty".