1601882472960 has 3840 divisors, whose sum is σ = 7953433804800. Its totient is φ = 300987187200.

The previous prime is 1601882472947. The next prime is 1601882472961. The reversal of 1601882472960 is 692742881061.

It is a happy number.

1601882472960 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 8 + 82 + 472 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 = 1601882472897 and 1601882472906.

It is not an unprimeable number, because it can be changed into a prime (1601882472961) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21943595484 + ... + 21943595556.

It is an arithmetic number, because the mean of its divisors is an integer number (2071206720).

Almost surely, 2^{1601882472960} is an apocalyptic number.

1601882472960 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 1601882472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976716902400).

1601882472960 is an abundant number, since it is smaller than the sum of its proper divisors (6351551331840).

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

1601882472960 is a wasteful number, since it uses less digits than its factorization.

1601882472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1601882472960 in words is "one trillion, six hundred one billion, eight hundred eighty-two million, four hundred seventy-two thousand, nine hundred sixty".