10275838848 has 240 divisors, whose sum is σ = 33617633280. Its totient is φ = 3113510400.

The previous prime is 10275838841. The next prime is 10275838849. The reversal of 10275838848 is 84883857201.

10275838848 is a `hidden beast` number, since 10 + 2 + 7 + 583 + 8 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10275838794 and 10275838803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10275838841) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1250433 + ... + 1258623.

It is an arithmetic number, because the mean of its divisors is an integer number (140073472).

Almost surely, 2^10275838848 is an apocalyptic number.

10275838848 is a gapful number since it is divisible by the number (18) 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 10275838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808816640).

10275838848 is an abundant number, since it is smaller than the sum of its proper divisors (23341794432).

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

10275838848 is an equidigital number, since it uses as much as digits as its factorization.

10275838848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8239 (or 8207 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 10275838848 in words is "ten billion, two hundred seventy-five million, eight hundred thirty-eight thousand, eight hundred forty-eight".