10080577200 has 60 divisors (see below), whose sum is σ = 32291452808. Its totient is φ = 2688153600.

The previous prime is 10080577189. The next prime is 10080577253. The reversal of 10080577200 is 277508001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4199041 + ... + 4201440.

Almost surely, 2^10080577200 is an apocalyptic number.

10080577200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10080577200 is an abundant number, since it is smaller than the sum of its proper divisors (22210875608).

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

10080577200 is a wasteful number, since it uses less digits than its factorization.

10080577200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8400502 (or 8400491 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The spelling of 10080577200 in words is "ten billion, eighty million, five hundred seventy-seven thousand, two hundred".