1820100009960 has 128 divisors (see below), whose sum is σ = 6100520025600. Its totient is φ = 482678403840.

The previous prime is 1820100009953. The next prime is 1820100009971. The reversal of 1820100009960 is 699000010281.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4459984 + ... + 4850943.

It is an arithmetic number, because the mean of its divisors is an integer number (47660312700).

Almost surely, 2^{1820100009960} is an apocalyptic number.

1820100009960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1820100009960 is an abundant number, since it is smaller than the sum of its proper divisors (4280420015640).

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

1820100009960 is a wasteful number, since it uses less digits than its factorization.

1820100009960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9311128 (or 9311118 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 1820100009960 in words is "one trillion, eight hundred twenty billion, one hundred million, nine thousand, nine hundred sixty".