1111716103680 has 480 divisors, whose sum is σ = 4738698828864. Its totient is φ = 234559438848.

The previous prime is 1111716103643. The next prime is 1111716103703. The reversal of 1111716103680 is 863016171111.

1111716103680 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 7 + 1 + 610 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1831522 + ... + 2361758.

Almost surely, 2^{1111716103680} is an apocalyptic number.

1111716103680 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 1111716103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369349414432).

1111716103680 is an abundant number, since it is smaller than the sum of its proper divisors (3626982725184).

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

1111716103680 is a wasteful number, since it uses less digits than its factorization.

1111716103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530286 (or 530267 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 1111716103680 in words is "one trillion, one hundred eleven billion, seven hundred sixteen million, one hundred three thousand, six hundred eighty".