5507016400 has 60 divisors (see below), whose sum is σ = 13327313292. Its totient is φ = 2186705920.

The previous prime is 5507016371. The next prime is 5507016433. The reversal of 5507016400 is 46107055.

It can be written as a sum of positive squares in 6 ways, for example, as 445547664 + 5061468736 = 21108^2 + 71144^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4554 + ... + 105046.

Almost surely, 2^5507016400 is an apocalyptic number.

5507016400 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 5507016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6663656646).

5507016400 is an abundant number, since it is smaller than the sum of its proper divisors (7820296892).

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

5507016400 is a wasteful number, since it uses less digits than its factorization.

5507016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100648 (or 100637 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 5507016400 is about 74209.2743530079. The cubic root of 5507016400 is about 1765.9244649440.

The spelling of 5507016400 in words is "five billion, five hundred seven million, sixteen thousand, four hundred".