10038188160 has 768 divisors, whose sum is σ = 46567422720. Its totient is φ = 1924300800.

The previous prime is 10038188119. The next prime is 10038188161. The reversal of 10038188160 is 6188183001.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (10038188161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5764890 + ... + 5766630.

It is an arithmetic number, because the mean of its divisors is an integer number (60634665).

Almost surely, 2^10038188160 is an apocalyptic number.

10038188160 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 10038188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23283711360).

10038188160 is an abundant number, since it is smaller than the sum of its proper divisors (36529234560).

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

10038188160 is a wasteful number, since it uses less digits than its factorization.

10038188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 10038188160 in words is "ten billion, thirty-eight million, one hundred eighty-eight thousand, one hundred sixty".