532709908416 has 700 divisors, whose sum is σ = 1862210924288. Its totient is φ = 150556299264.

The previous prime is 532709908373. The next prime is 532709908417. The reversal of 532709908416 is 614809907235.

532709908416 is a `hidden beast` number, since 532 + 7 + 0 + 9 + 90 + 8 + 4 + 16 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532709908417) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1580741400 + ... + 1580741736.

It is a 1-persistent number, because it is pandigital, but 2⋅532709908416 = 1065419816832 is not.

Almost surely, 2^532709908416 is an apocalyptic number.

532709908416 is a gapful number since it is divisible by the number (56) 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 532709908416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931105462144).

532709908416 is an abundant number, since it is smaller than the sum of its proper divisors (1329501015872).

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

532709908416 is an equidigital number, since it uses as much as digits as its factorization.

532709908416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 532709908416 in words is "five hundred thirty-two billion, seven hundred nine million, nine hundred eight thousand, four hundred sixteen".