10415255120 has 80 divisors (see below), whose sum is σ = 24444149760. Its totient is φ = 4126897152.

The previous prime is 10415255093. The next prime is 10415255129. The reversal of 10415255120 is 2155251401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10415255120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10415255129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8142641 + ... + 8143919.

It is an arithmetic number, because the mean of its divisors is an integer number (305551872).

Almost surely, 2^10415255120 is an apocalyptic number.

10415255120 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 10415255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12222074880).

10415255120 is an abundant number, since it is smaller than the sum of its proper divisors (14028894640).

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

10415255120 is a wasteful number, since it uses less digits than its factorization.

10415255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The spelling of 10415255120 in words is "ten billion, four hundred fifteen million, two hundred fifty-five thousand, one hundred twenty".