1107688501656 has 768 divisors, whose sum is σ = 3612143808000. Its totient is φ = 303077376000.

The previous prime is 1107688501639. The next prime is 1107688501679. The reversal of 1107688501656 is 6561058867011.

It is a happy number.

1107688501656 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 6 + 88 + 501 + 6 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 6119825886 + ... + 6119826066.

It is an arithmetic number, because the mean of its divisors is an integer number (4703312250).

Almost surely, 2^{1107688501656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107688501656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806071904000).

1107688501656 is an abundant number, since it is smaller than the sum of its proper divisors (2504455306344).

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

1107688501656 is a wasteful number, since it uses less digits than its factorization.

1107688501656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1107688501656 in words is "one trillion, one hundred seven billion, six hundred eighty-eight million, five hundred one thousand, six hundred fifty-six".