1606217902080 has 1536 divisors, whose sum is σ = 6283630080000. Its totient is φ = 345684049920.

The previous prime is 1606217902043. The next prime is 1606217902097. The reversal of 1606217902080 is 802097126061.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10779985846 + ... + 10779985994.

It is an arithmetic number, because the mean of its divisors is an integer number (4090905000).

Almost surely, 2^{1606217902080} is an apocalyptic number.

1606217902080 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 1606217902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141815040000).

1606217902080 is an abundant number, since it is smaller than the sum of its proper divisors (4677412177920).

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

1606217902080 is a wasteful number, since it uses less digits than its factorization.

1606217902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 1606217902080 in words is "one trillion, six hundred six billion, two hundred seventeen million, nine hundred two thousand, eighty".