1982751884160 has 128 divisors (see below), whose sum is σ = 6320450563200. Its totient is φ = 528697952256.

The previous prime is 1982751884149. The next prime is 1982751884167. The reversal of 1982751884160 is 614881572891.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1982751884094 and 1982751884103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982751884167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40424131 + ... + 40473149.

It is an arithmetic number, because the mean of its divisors is an integer number (49378520025).

Almost surely, 2^{1982751884160} is an apocalyptic number.

1982751884160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1982751884160 is an abundant number, since it is smaller than the sum of its proper divisors (4337698679040).

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

1982751884160 is a wasteful number, since it uses less digits than its factorization.

1982751884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70108 (or 70096 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 60.

The spelling of 1982751884160 in words is "one trillion, nine hundred eighty-two billion, seven hundred fifty-one million, eight hundred eighty-four thousand, one hundred sixty".