1567681413120 has 960 divisors, whose sum is σ = 5935907577600. Its totient is φ = 396135235584.

The previous prime is 1567681413091. The next prime is 1567681413139. The reversal of 1567681413120 is 213141867651.

1567681413120 is a `hidden beast` number, since 1 + 56 + 7 + 68 + 1 + 413 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14651228107 + ... + 14651228213.

It is an arithmetic number, because the mean of its divisors is an integer number (6183237060).

Almost surely, 2^{1567681413120} is an apocalyptic number.

1567681413120 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 1567681413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967953788800).

1567681413120 is an abundant number, since it is smaller than the sum of its proper divisors (4368226164480).

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

1567681413120 is an frugal number, since it uses more digits than its factorization.

1567681413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1567681413120 in words is "one trillion, five hundred sixty-seven billion, six hundred eighty-one million, four hundred thirteen thousand, one hundred twenty".