1612117278720 has 1536 divisors, whose sum is σ = 6624864993600. Its totient is φ = 369635622912.

The previous prime is 1612117278701. The next prime is 1612117278743. The reversal of 1612117278720 is 278727112161.

It is a happy number.

1612117278720 is a `hidden beast` number, since 1 + 612 + 1 + 1 + 7 + 2 + 7 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16619765712 + ... + 16619765808.

Almost surely, 2^{1612117278720} is an apocalyptic number.

1612117278720 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 1612117278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312432496800).

1612117278720 is an abundant number, since it is smaller than the sum of its proper divisors (5012747714880).

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

1612117278720 is an equidigital number, since it uses as much as digits as its factorization.

1612117278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 1612117278720 in words is "one trillion, six hundred twelve billion, one hundred seventeen million, two hundred seventy-eight thousand, seven hundred twenty".