1987105161762 has 96 divisors (see below), whose sum is σ = 5180048440320. Its totient is φ = 537797996640.

The previous prime is 1987105161761. The next prime is 1987105161859. The reversal of 1987105161762 is 2671615017891.

1987105161762 is a `hidden beast` number, since 1 + 9 + 8 + 7 + 10 + 5 + 1 + 617 + 6 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1987105161699 and 1987105161708.

It is not an unprimeable number, because it can be changed into a prime (1987105161761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21718203 + ... + 21809505.

It is an arithmetic number, because the mean of its divisors is an integer number (53958837920).

Almost surely, 2^{1987105161762} is an apocalyptic number.

1987105161762 is an abundant number, since it is smaller than the sum of its proper divisors (3192943278558).

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

1987105161762 is a wasteful number, since it uses less digits than its factorization.

1987105161762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100428 (or 100425 counting only the distinct ones).

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

The spelling of 1987105161762 in words is "one trillion, nine hundred eighty-seven billion, one hundred five million, one hundred sixty-one thousand, seven hundred sixty-two".