534288081600 has 2016 divisors, whose sum is σ = 2445387235200. Its totient is φ = 109897482240.

The previous prime is 534288081583. The next prime is 534288081601. The reversal of 534288081600 is 6180882435.

534288081600 is a `hidden beast` number, since 5 + 34 + 2 + 8 + 8 + 0 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is not an unprimeable number, because it can be changed into a prime (534288081601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3403108722 + ... + 3403108878.

It is an arithmetic number, because the mean of its divisors is an integer number (1212989700).

Almost surely, 2^534288081600 is an apocalyptic number.

534288081600 is a gapful number since it is divisible by the number (50) 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 534288081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222693617600).

534288081600 is an abundant number, since it is smaller than the sum of its proper divisors (1911099153600).

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

534288081600 is a wasteful number, since it uses less digits than its factorization.

534288081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 534288081600 in words is "five hundred thirty-four billion, two hundred eighty-eight million, eighty-one thousand, six hundred".