1611892615872 has 448 divisors, whose sum is σ = 5438182883328. Its totient is φ = 409204224000.

The previous prime is 1611892615847. The next prime is 1611892615933. The reversal of 1611892615872 is 2785162981161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×1611892615872³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212338797 + ... + 212346387.

Almost surely, 2^{1611892615872} is an apocalyptic number.

1611892615872 is a gapful number since it is divisible by the number (12) 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 1611892615872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719091441664).

1611892615872 is an abundant number, since it is smaller than the sum of its proper divisors (3826290267456).

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

1611892615872 is a wasteful number, since it uses less digits than its factorization.

1611892615872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7948 (or 7938 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 57.

The spelling of 1611892615872 in words is "one trillion, six hundred eleven billion, eight hundred ninety-two million, six hundred fifteen thousand, eight hundred seventy-two".