5505949567460 has 72 divisors (see below), whose sum is σ = 12212960349240. Its totient is φ = 2084775003648.

The previous prime is 5505949567427. The next prime is 5505949567499. The reversal of 5505949567460 is 647659495055.

It can be written as a sum of positive squares in 4 ways, for example, as 951003337636 + 4554946229824 = 975194^2 + 2134232^2 .

It is a super-2 number, since 2×5505949567460² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8622896 + ... + 9239384.

It is an arithmetic number, because the mean of its divisors is an integer number (169624449295).

Almost surely, 2^{5505949567460} 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 5505949567460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106480174620).

5505949567460 is an abundant number, since it is smaller than the sum of its proper divisors (6707010781780).

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

5505949567460 is a wasteful number, since it uses less digits than its factorization.

5505949567460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617773 (or 617752 counting only the distinct ones).

The product of its (nonzero) digits is 204120000, while the sum is 65.

The spelling of 5505949567460 in words is "five trillion, five hundred five billion, nine hundred forty-nine million, five hundred sixty-seven thousand, four hundred sixty".