1820100182000 has 80 divisors (see below), whose sum is σ = 4401373204800. Its totient is φ = 727978707200.

The previous prime is 1820100181973. The next prime is 1820100182011. The reversal of 1820100182000 is 2810010281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29306981 + ... + 29369019.

It is an arithmetic number, because the mean of its divisors is an integer number (55017165060).

Almost surely, 2^{1820100182000} is an apocalyptic number.

1820100182000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1820100182000 is an abundant number, since it is smaller than the sum of its proper divisors (2581273022800).

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

1820100182000 is a wasteful number, since it uses less digits than its factorization.

1820100182000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76731 (or 76715 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 1820100182000 its reverse (2810010281), we get a palindrome (1822910192281).

The spelling of 1820100182000 in words is "one trillion, eight hundred twenty billion, one hundred million, one hundred eighty-two thousand".