10275494112 has 336 divisors, whose sum is σ = 33748622208. Its totient is φ = 3056901120.

The previous prime is 10275494071. The next prime is 10275494149. The reversal of 10275494112 is 21149457201.

10275494112 is a `hidden beast` number, since 102 + 7 + 549 + 4 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9400638 + ... + 9401730.

It is an arithmetic number, because the mean of its divisors is an integer number (100442328).

Almost surely, 2^10275494112 is an apocalyptic number.

10275494112 is a gapful number since it is divisible by the number (12) 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 10275494112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16874311104).

10275494112 is an abundant number, since it is smaller than the sum of its proper divisors (23473128096).

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

10275494112 is a wasteful number, since it uses less digits than its factorization.

10275494112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10275494112 in words is "ten billion, two hundred seventy-five million, four hundred ninety-four thousand, one hundred twelve".