55516784400 has 2025 divisors, whose sum is σ = 270628562127. Its totient is φ = 10857369600.

The previous prime is 55516784377. The next prime is 55516784423. The reversal of 55516784400 is 448761555.

The square root of 55516784400 is 235620.

It is a perfect power (a square), and thus also a powerful number.

55516784400 is a `hidden beast` number, since 5 + 5 + 5 + 167 + 84 + 400 = 666.

55516784400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55516784377) and next prime (55516784423).

It can be written as a sum of positive squares in 4 ways, for example, as 1298593296 + 54218191104 = 36036^2 + 232848^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is a super-2 number, since 2×55516784400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 3265693192 + ... + 3265693208.

Almost surely, 2^55516784400 is an apocalyptic number.

55516784400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55516784400 is the 235620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55516784400

55516784400 is an abundant number, since it is smaller than the sum of its proper divisors (215111777727).

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

55516784400 is a wasteful number, since it uses less digits than its factorization.

55516784400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 55516784400 in words is "fifty-five billion, five hundred sixteen million, seven hundred eighty-four thousand, four hundred".