10120502827288 has 128 divisors (see below), whose sum is σ = 22730405068800. Its totient is φ = 4130355613824.

The previous prime is 10120502827261. The next prime is 10120502827319. The reversal of 10120502827288 is 88272820502101.

10120502827288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264037581 + ... + 264075907.

It is an arithmetic number, because the mean of its divisors is an integer number (177581289600).

Almost surely, 2^{10120502827288} 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 10120502827288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11365202534400).

10120502827288 is an abundant number, since it is smaller than the sum of its proper divisors (12609902241512).

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

10120502827288 is a wasteful number, since it uses less digits than its factorization.

10120502827288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39269 (or 39265 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 46.

The spelling of 10120502827288 in words is "ten trillion, one hundred twenty billion, five hundred two million, eight hundred twenty-seven thousand, two hundred eighty-eight".