535089627072 has 1792 divisors, whose sum is σ = 2312399093760. Its totient is φ = 116652441600.

The previous prime is 535089627071. The next prime is 535089627097. The reversal of 535089627072 is 270726980535.

535089627072 is a `hidden beast` number, since 5 + 3 + 5 + 0 + 8 + 9 + 627 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535089627071) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 911566363 + ... + 911566949.

It is an arithmetic number, because the mean of its divisors is an integer number (1290401280).

Almost surely, 2^535089627072 is an apocalyptic number.

535089627072 is a gapful number since it is divisible by the number (52) 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 535089627072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156199546880).

535089627072 is an abundant number, since it is smaller than the sum of its proper divisors (1777309466688).

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

535089627072 is a wasteful number, since it uses less digits than its factorization.

535089627072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 535089627072 in words is "five hundred thirty-five billion, eighty-nine million, six hundred twenty-seven thousand, seventy-two".