1612152668160 has 384 divisors, whose sum is σ = 5795843049360. Its totient is φ = 429896761344.

The previous prime is 1612152668117. The next prime is 1612152668167. The reversal of 1612152668160 is 618662512161.

1612152668160 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 1 + 526 + 68 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1612152668167) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39792874 + ... + 39833366.

Almost surely, 2^{1612152668160} is an apocalyptic number.

1612152668160 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 1612152668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897921524680).

1612152668160 is an abundant number, since it is smaller than the sum of its proper divisors (4183690381200).

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

1612152668160 is an frugal number, since it uses more digits than its factorization.

1612152668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40543 (or 40503 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1612152668160 in words is "one trillion, six hundred twelve billion, one hundred fifty-two million, six hundred sixty-eight thousand, one hundred sixty".