10482989760 has 224 divisors, whose sum is σ = 38175590400. Its totient is φ = 2705218560.

The previous prime is 10482989743. The next prime is 10482989761. The reversal of 10482989760 is 6798928401.

10482989760 is a `hidden beast` number, since 1 + 0 + 482 + 98 + 9 + 76 + 0 = 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 = 10482989697 and 10482989706.

It is not an unprimeable number, because it can be changed into a prime (10482989761) 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, 248271 + ... + 287409.

Almost surely, 2^10482989760 is an apocalyptic number.

10482989760 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 10482989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19087795200).

10482989760 is an abundant number, since it is smaller than the sum of its proper divisors (27692600640).

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

10482989760 is a wasteful number, since it uses less digits than its factorization.

10482989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39196 (or 39180 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10482989760 in words is "ten billion, four hundred eighty-two million, nine hundred eighty-nine thousand, seven hundred sixty".