10075580800 has 48 divisors (see below), whose sum is σ = 24889841100. Its totient is φ = 4030231040.

The previous prime is 10075580761. The next prime is 10075580807. The reversal of 10075580800 is 808557001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075580807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1571110 + ... + 1577509.

Almost surely, 2^10075580800 is an apocalyptic number.

10075580800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10075580800 is an abundant number, since it is smaller than the sum of its proper divisors (14814260300).

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

10075580800 is an equidigital number, since it uses as much as digits as its factorization.

10075580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148643 (or 3148626 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 34.

The spelling of 10075580800 in words is "ten billion, seventy-five million, five hundred eighty thousand, eight hundred".