1201660677504 has 576 divisors, whose sum is σ = 4285499400000. Its totient is φ = 321318918144.

The previous prime is 1201660677443. The next prime is 1201660677517. The reversal of 1201660677504 is 4057760661021.

1201660677504 is a `hidden beast` number, since 1 + 2 + 0 + 16 + 60 + 6 + 77 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 1201660677504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89011747 + ... + 89025245.

It is an arithmetic number, because the mean of its divisors is an integer number (7440103125).

Almost surely, 2^{1201660677504} is an apocalyptic number.

1201660677504 is a gapful number since it is divisible by the number (14) 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 1201660677504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142749700000).

1201660677504 is an abundant number, since it is smaller than the sum of its proper divisors (3083838722496).

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

1201660677504 is a wasteful number, since it uses less digits than its factorization.

1201660677504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13635 (or 13613 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1201660677504 in words is "one trillion, two hundred one billion, six hundred sixty million, six hundred seventy-seven thousand, five hundred four".