1001677316560 has 40 divisors (see below), whose sum is σ = 2330764605000. Its totient is φ = 400350093312.

The previous prime is 1001677316539. The next prime is 1001677316569. The reversal of 1001677316560 is 656137761001.

1001677316560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 68899950144 + 932777366416 = 262488^2 + 965804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001677316569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4912477 + ... + 5112316.

It is an arithmetic number, because the mean of its divisors is an integer number (58269115125).

Almost surely, 2^{1001677316560} is an apocalyptic number.

1001677316560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001677316560 is an abundant number, since it is smaller than the sum of its proper divisors (1329087288440).

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

1001677316560 is a wasteful number, since it uses less digits than its factorization.

1001677316560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10026055 (or 10026049 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The spelling of 1001677316560 in words is "one trillion, one billion, six hundred seventy-seven million, three hundred sixteen thousand, five hundred sixty".