10027964180 has 48 divisors (see below), whose sum is σ = 23161178880. Its totient is φ = 3623849088.

The previous prime is 10027964173. The next prime is 10027964237. The reversal of 10027964180 is 8146972001.

10027964180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 398090 + ... + 422529.

It is an arithmetic number, because the mean of its divisors is an integer number (482524560).

Almost surely, 2^10027964180 is an apocalyptic number.

10027964180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10027964180 is an abundant number, since it is smaller than the sum of its proper divisors (13133214700).

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

10027964180 is a wasteful number, since it uses less digits than its factorization.

10027964180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820688 (or 820686 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 10027964180 in words is "ten billion, twenty-seven million, nine hundred sixty-four thousand, one hundred eighty".