5485441508352 has 792 divisors, whose sum is σ = 18349832834424. Its totient is φ = 1568169787392.

The previous prime is 5485441508321. The next prime is 5485441508381. The reversal of 5485441508352 is 2538051445845.

5485441508352 is a `hidden beast` number, since 5 + 4 + 8 + 544 + 15 + 0 + 83 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 402564096 + 5485038944256 = 20064^2 + 2342016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2292285268 + ... + 2292287660.

Almost surely, 2^{5485441508352} is an apocalyptic number.

5485441508352 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 5485441508352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174916417212).

5485441508352 is an abundant number, since it is smaller than the sum of its proper divisors (12864391326072).

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

5485441508352 is a wasteful number, since it uses less digits than its factorization.

5485441508352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 15360000, while the sum is 54.

The spelling of 5485441508352 in words is "five trillion, four hundred eighty-five billion, four hundred forty-one million, five hundred eight thousand, three hundred fifty-two".