1870081200000 has 1152 divisors, whose sum is σ = 7483133548800. Its totient is φ = 445132800000.

The previous prime is 1870081199983. The next prime is 1870081200019. The reversal of 1870081200000 is 21800781.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1450799356 + ... + 1450800644.

It is an arithmetic number, because the mean of its divisors is an integer number (6495775650).

Almost surely, 2^{1870081200000} is an apocalyptic number.

1870081200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1870081200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741566774400).

1870081200000 is an abundant number, since it is smaller than the sum of its proper divisors (5613052348800).

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

1870081200000 is a wasteful number, since it uses less digits than its factorization.

1870081200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 1870081200000 in words is "one trillion, eight hundred seventy billion, eighty-one million, two hundred thousand".