5512406400 has 672 divisors, whose sum is σ = 21773215800. Its totient is φ = 1373552640.

The previous prime is 5512406399. The next prime is 5512406401. The reversal of 5512406400 is 46042155.

5512406400 is a `hidden beast` number, since 5 + 5 + 12 + 4 + 0 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5512406399) and next prime (5512406401).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5512406401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 39657531 + ... + 39657669.

Almost surely, 2^5512406400 is an apocalyptic number.

5512406400 is a gapful number since it is divisible by the number (50) 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 5512406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886607900).

5512406400 is an abundant number, since it is smaller than the sum of its proper divisors (16260809400).

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

5512406400 is a wasteful number, since it uses less digits than its factorization.

5512406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5512406400 is about 74245.5816867240. The cubic root of 5512406400 is about 1766.5004107618.

Adding to 5512406400 its reverse (46042155), we get a palindrome (5558448555).

The spelling of 5512406400 in words is "five billion, five hundred twelve million, four hundred six thousand, four hundred".