10382755680 has 288 divisors, whose sum is σ = 40334112000. Its totient is φ = 2407511040.

The previous prime is 10382755679. The next prime is 10382755681. The reversal of 10382755680 is 8655728301.

10382755680 is a `hidden beast` number, since 1 + 0 + 3 + 82 + 7 + 5 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10382755679) and next prime (10382755681).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10382755681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350071 + ... + 378569.

It is an arithmetic number, because the mean of its divisors is an integer number (140049000).

Almost surely, 2^10382755680 is an apocalyptic number.

10382755680 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 10382755680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167056000).

10382755680 is an abundant number, since it is smaller than the sum of its proper divisors (29951356320).

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

10382755680 is a wasteful number, since it uses less digits than its factorization.

10382755680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28554 (or 28543 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10382755680 in words is "ten billion, three hundred eighty-two million, seven hundred fifty-five thousand, six hundred eighty".