5505254032400 has 60 divisors (see below), whose sum is σ = 13407556073172. Its totient is φ = 2171935825920.

The previous prime is 5505254032387. The next prime is 5505254032403. The reversal of 5505254032400 is 42304525055.

It can be written as a sum of positive squares in 6 ways, for example, as 55531865104 + 5449722167296 = 235652^2 + 2334464^2 .

It is a super-2 number, since 2×5505254032400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5505254032403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94238849 + ... + 94297248.

Almost surely, 2^{5505254032400} is an apocalyptic number.

5505254032400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5505254032400 is an abundant number, since it is smaller than the sum of its proper divisors (7902302040772).

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

5505254032400 is a wasteful number, since it uses less digits than its factorization.

5505254032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188536188 (or 188536177 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 35.

Adding to 5505254032400 its reverse (42304525055), we get a palindrome (5547558557455).

The spelling of 5505254032400 in words is "five trillion, five hundred five billion, two hundred fifty-four million, thirty-two thousand, four hundred".