1606057390080 has 1664 divisors, whose sum is σ = 7067587968000. Its totient is φ = 340163297280.

The previous prime is 1606057390073. The next prime is 1606057390139. The reversal of 1606057390080 is 800937506061.

It is a happy number.

1606057390080 is a `hidden beast` number, since 1 + 6 + 0 + 605 + 7 + 39 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1502391786 + ... + 1502392854.

Almost surely, 2^{1606057390080} is an apocalyptic number.

1606057390080 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 1606057390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533793984000).

1606057390080 is an abundant number, since it is smaller than the sum of its proper divisors (5461530577920).

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

1606057390080 is a wasteful number, since it uses less digits than its factorization.

1606057390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1606057390080 in words is "one trillion, six hundred six billion, fifty-seven million, three hundred ninety thousand, eighty".