534984675910272 has 320 divisors, whose sum is σ = 1819683617083200. Its totient is φ = 152841489739776.

The previous prime is 534984675910259. The next prime is 534984675910283. The reversal of 534984675910272 is 272019576489435.

534984675910272 is a `hidden beast` number, since 5 + 3 + 4 + 9 + 8 + 4 + 6 + 7 + 591 + 0 + 27 + 2 = 666.

It is a super-2 number, since 2×534984675910272² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 534984675910272.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1009484979 + ... + 1010014797.

It is an arithmetic number, because the mean of its divisors is an integer number (5686511303385).

It is a 1-persistent number, because it is pandigital, but 2⋅534984675910272 = 1069969351820544 is not.

Almost surely, 2^{534984675910272} 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 534984675910272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909841808541600).

534984675910272 is an abundant number, since it is smaller than the sum of its proper divisors (1284698941172928).

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

534984675910272 is a wasteful number, since it uses less digits than its factorization.

534984675910272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543765 (or 543744 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 534984675910272 in words is "five hundred thirty-four trillion, nine hundred eighty-four billion, six hundred seventy-five million, nine hundred ten thousand, two hundred seventy-two".