534237022126080 has 5760 divisors, whose sum is σ = 2510950776364800. Its totient is φ = 107873807892480.

The previous prime is 534237022126037. The next prime is 534237022126099. The reversal of 534237022126080 is 80621220732435.

534237022126080 is a `hidden beast` number, since 5 + 3 + 4 + 2 + 3 + 7 + 0 + 22 + 12 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8757983969250 + ... + 8757983969310.

It is an arithmetic number, because the mean of its divisors is an integer number (435928954230).

Almost surely, 2^{534237022126080} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534237022126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255475388182400).

534237022126080 is an abundant number, since it is smaller than the sum of its proper divisors (1976713754238720).

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

534237022126080 is an frugal number, since it uses more digits than its factorization.

534237022126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 534237022126080 in words is "five hundred thirty-four trillion, two hundred thirty-seven billion, twenty-two million, one hundred twenty-six thousand, eighty".