10277812800 has 126 divisors (see below), whose sum is σ = 36529824578. Its totient is φ = 2740746240.

The previous prime is 10277812793. The next prime is 10277812837. The reversal of 10277812800 is 821877201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 78428736 + 10199384064 = 8856^2 + 100992^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 342469 + ... + 371268.

Almost surely, 2^10277812800 is an apocalyptic number.

10277812800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10277812800 is an abundant number, since it is smaller than the sum of its proper divisors (26252011778).

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

10277812800 is a wasteful number, since it uses less digits than its factorization.

10277812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713765 (or 713747 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 10277812800 in words is "ten billion, two hundred seventy-seven million, eight hundred twelve thousand, eight hundred".