10177988000 has 48 divisors (see below), whose sum is σ = 25007326344. Its totient is φ = 4071193600.

The previous prime is 10177987999. The next prime is 10177988027. The reversal of 10177988000 is 88977101.

10177988000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 433139344 + 9744848656 = 20812^2 + 98716^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1268249 + ... + 1276248.

Almost surely, 2^10177988000 is an apocalyptic number.

10177988000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10177988000 is an abundant number, since it is smaller than the sum of its proper divisors (14829338344).

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

10177988000 is an equidigital number, since it uses as much as digits as its factorization.

10177988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544522 (or 2544504 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 41.

The spelling of 10177988000 in words is "ten billion, one hundred seventy-seven million, nine hundred eighty-eight thousand".