1981888560000 has 1120 divisors, whose sum is σ = 7836350940000. Its totient is φ = 497166336000.

The previous prime is 1981888559999. The next prime is 1981888560007. The reversal of 1981888560000 is 658881891.

1981888560000 is a `hidden beast` number, since 19 + 8 + 18 + 8 + 8 + 5 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981888560007) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 991439001 + ... + 991440999.

Almost surely, 2^{1981888560000} is an apocalyptic number.

1981888560000 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 1981888560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918175470000).

1981888560000 is an abundant number, since it is smaller than the sum of its proper divisors (5854462380000).

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

1981888560000 is an frugal number, since it uses more digits than its factorization.

1981888560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 1981888560000 in words is "one trillion, nine hundred eighty-one billion, eight hundred eighty-eight million, five hundred sixty thousand".