1608215587992 has 672 divisors, whose sum is σ = 5054880168000. Its totient is φ = 478992144384.

The previous prime is 1608215587841. The next prime is 1608215588009. The reversal of 1608215587992 is 2997855128061.

1608215587992 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 2 + 1 + 558 + 79 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6902212708 + ... + 6902212940.

Almost surely, 2^{1608215587992} is an apocalyptic number.

1608215587992 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 1608215587992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527440084000).

1608215587992 is an abundant number, since it is smaller than the sum of its proper divisors (3446664580008).

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

1608215587992 is a wasteful number, since it uses less digits than its factorization.

1608215587992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 1608215587992 in words is "one trillion, six hundred eight billion, two hundred fifteen million, five hundred eighty-seven thousand, nine hundred ninety-two".