1604291952960 has 896 divisors, whose sum is σ = 6092879823360. Its totient is φ = 395965366272.

The previous prime is 1604291952953. The next prime is 1604291952961. The reversal of 1604291952960 is 692591924061.

1604291952960 is a `hidden beast` number, since 1 + 6 + 0 + 42 + 9 + 19 + 529 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1604291952897 and 1604291952906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604291952961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2705382424 + ... + 2705383016.

Almost surely, 2^{1604291952960} is an apocalyptic number.

1604291952960 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 1604291952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046439911680).

1604291952960 is an abundant number, since it is smaller than the sum of its proper divisors (4488587870400).

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

1604291952960 is a wasteful number, since it uses less digits than its factorization.

1604291952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 1604291952960 in words is "one trillion, six hundred four billion, two hundred ninety-one million, nine hundred fifty-two thousand, nine hundred sixty".