10638381000 has 192 divisors, whose sum is σ = 35943073920. Its totient is φ = 2618553600.

The previous prime is 10638380993. The next prime is 10638381001. The reversal of 10638381000 is 18383601.

10638381000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10638381000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638381001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496509 + ... + 517491.

It is an arithmetic number, because the mean of its divisors is an integer number (187203510).

Almost surely, 2^10638381000 is an apocalyptic number.

10638381000 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 10638381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971536960).

10638381000 is an abundant number, since it is smaller than the sum of its proper divisors (25304692920).

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

10638381000 is a wasteful number, since it uses less digits than its factorization.

10638381000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21033 (or 21006 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 10638381000 in words is "ten billion, six hundred thirty-eight million, three hundred eighty-one thousand".