10282114080 has 960 divisors, whose sum is σ = 45050100480. Its totient is φ = 2155216896.

The previous prime is 10282114049. The next prime is 10282114091. The reversal of 10282114080 is 8041128201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 90992104 + ... + 90992216.

It is an arithmetic number, because the mean of its divisors is an integer number (46927188).

Almost surely, 2^10282114080 is an apocalyptic number.

10282114080 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 10282114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22525050240).

10282114080 is an abundant number, since it is smaller than the sum of its proper divisors (34767986400).

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

10282114080 is a wasteful number, since it uses less digits than its factorization.

10282114080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 10282114080 in words is "ten billion, two hundred eighty-two million, one hundred fourteen thousand, eighty".