1981165712760 has 672 divisors, whose sum is σ = 7278019346160. Its totient is φ = 484911857664.

The previous prime is 1981165712699. The next prime is 1981165712783. The reversal of 1981165712760 is 672175611891.

1981165712760 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 1 + 6 + 571 + 2 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1981165712697 and 1981165712706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 951110679 + ... + 951112761.

Almost surely, 2^{1981165712760} is an apocalyptic number.

1981165712760 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 1981165712760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639009673080).

1981165712760 is an abundant number, since it is smaller than the sum of its proper divisors (5296853633400).

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

1981165712760 is a wasteful number, since it uses less digits than its factorization.

1981165712760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 1981165712760 in words is "one trillion, nine hundred eighty-one billion, one hundred sixty-five million, seven hundred twelve thousand, seven hundred sixty".