1604520506880 has 640 divisors, whose sum is σ = 5772273408000. Its totient is φ = 422441091072.

The previous prime is 1604520506867. The next prime is 1604520506881. The reversal of 1604520506880 is 886050254061.

1604520506880 is a `hidden beast` number, since 1 + 6 + 0 + 45 + 20 + 506 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604520506881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2159515789 + ... + 2159516531.

It is an arithmetic number, because the mean of its divisors is an integer number (9019177200).

Almost surely, 2^{1604520506880} is an apocalyptic number.

1604520506880 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 1604520506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886136704000).

1604520506880 is an abundant number, since it is smaller than the sum of its proper divisors (4167752901120).

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

1604520506880 is a wasteful number, since it uses less digits than its factorization.

1604520506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1604520506880 in words is "one trillion, six hundred four billion, five hundred twenty million, five hundred six thousand, eight hundred eighty".