1981200758472 has 192 divisors, whose sum is σ = 5852851804800. Its totient is φ = 601805168640.

The previous prime is 1981200758429. The next prime is 1981200758477. The reversal of 1981200758472 is 2748570021891.

1981200758472 is a `hidden beast` number, since 1 + 9 + 81 + 20 + 0 + 75 + 8 + 472 = 666.

It is not an unprimeable number, because it can be changed into a prime (1981200758477) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23623029 + ... + 23706747.

It is an arithmetic number, because the mean of its divisors is an integer number (30483603150).

Almost surely, 2^{1981200758472} is an apocalyptic number.

1981200758472 is a gapful number since it is divisible by the number (12) 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 1981200758472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926425902400).

1981200758472 is an abundant number, since it is smaller than the sum of its proper divisors (3871651046328).

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

1981200758472 is a wasteful number, since it uses less digits than its factorization.

1981200758472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84068 (or 84061 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 1981200758472 in words is "one trillion, nine hundred eighty-one billion, two hundred million, seven hundred fifty-eight thousand, four hundred seventy-two".