10175038080 has 512 divisors, whose sum is σ = 36355737600. Its totient is φ = 2408693760.

The previous prime is 10175038043. The next prime is 10175038091. The reversal of 10175038080 is 8083057101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56215590 + ... + 56215770.

It is an arithmetic number, because the mean of its divisors is an integer number (71007300).

Almost surely, 2^10175038080 is an apocalyptic number.

10175038080 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 10175038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18177868800).

10175038080 is an abundant number, since it is smaller than the sum of its proper divisors (26180699520).

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

10175038080 is a wasteful number, since it uses less digits than its factorization.

10175038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 10175038080 in words is "ten billion, one hundred seventy-five million, thirty-eight thousand, eighty".