160028026801632 has 288 divisors, whose sum is σ = 515742609957120. Its totient is φ = 48408101176320.

The previous prime is 160028026801609. The next prime is 160028026801637. The reversal of 160028026801632 is 236108620820061.

160028026801632 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 2 + 8 + 0 + 2 + 6 + 8 + 0 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160028026801637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47025973 + ... + 50313995.

It is an arithmetic number, because the mean of its divisors is an integer number (1790772951240).

Almost surely, 2^{160028026801632} is an apocalyptic number.

160028026801632 is a gapful number since it is divisible by the number (12) 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 160028026801632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257871304978560).

160028026801632 is an abundant number, since it is smaller than the sum of its proper divisors (355714583155488).

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

160028026801632 is a wasteful number, since it uses less digits than its factorization.

160028026801632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288628 (or 3288608 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 160028026801632 in words is "one hundred sixty trillion, twenty-eight billion, twenty-six million, eight hundred one thousand, six hundred thirty-two".