1606131394560 has 1152 divisors, whose sum is σ = 6976527667200. Its totient is φ = 331994234880.

The previous prime is 1606131394513. The next prime is 1606131394561. The reversal of 1606131394560 is 654931316061.

1606131394560 is a `hidden beast` number, since 1 + 6 + 0 + 61 + 3 + 139 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (1606131394561) 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 95 ways as a sum of consecutive naturals, for example, 1696020007 + ... + 1696020953.

It is an arithmetic number, because the mean of its divisors is an integer number (6056013600).

Almost surely, 2^{1606131394560} is an apocalyptic number.

1606131394560 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 1606131394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488263833600).

1606131394560 is an abundant number, since it is smaller than the sum of its proper divisors (5370396272640).

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

1606131394560 is a wasteful number, since it uses less digits than its factorization.

1606131394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 1606131394560 in words is "one trillion, six hundred six billion, one hundred thirty-one million, three hundred ninety-four thousand, five hundred sixty".