5413760475552 has 648 divisors, whose sum is σ = 18543418334532. Its totient is φ = 1488238202880.

The previous prime is 5413760475521. The next prime is 5413760475577. The reversal of 5413760475552 is 2555740673145.

It is a happy number.

5413760475552 is a `hidden beast` number, since 5 + 4 + 13 + 7 + 6 + 0 + 4 + 75 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4995922344336 + 417838131216 = 2235156^2 + 646404^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1576974828 + ... + 1576978260.

Almost surely, 2^{5413760475552} is an apocalyptic number.

5413760475552 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 5413760475552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9271709167266).

5413760475552 is an abundant number, since it is smaller than the sum of its proper divisors (13129657858980).

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

5413760475552 is a wasteful number, since it uses less digits than its factorization.

5413760475552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 5413760475552 in words is "five trillion, four hundred thirteen billion, seven hundred sixty million, four hundred seventy-five thousand, five hundred fifty-two".