10115760082848 has 192 divisors, whose sum is σ = 31669225039872. Its totient is φ = 2764337495040.

The previous prime is 10115760082807. The next prime is 10115760082849. The reversal of 10115760082848 is 84828006751101.

It is a super-2 number, since 2×10115760082848² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10115760082848.

It is not an unprimeable number, because it can be changed into a prime (10115760082849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345906115 + ... + 345935357.

It is an arithmetic number, because the mean of its divisors is an integer number (164943880416).

Almost surely, 2^{10115760082848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10115760082848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15834612519936).

10115760082848 is an abundant number, since it is smaller than the sum of its proper divisors (21553464957024).

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

10115760082848 is a wasteful number, since it uses less digits than its factorization.

10115760082848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51667 (or 51659 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 51.

The spelling of 10115760082848 in words is "ten trillion, one hundred fifteen billion, seven hundred sixty million, eighty-two thousand, eight hundred forty-eight".