5455616400 has 360 divisors, whose sum is σ = 20870705856. Its totient is φ = 1311206400.

The previous prime is 5455616381. The next prime is 5455616431. The reversal of 5455616400 is 46165545.

5455616400 is a `hidden beast` number, since 5 + 4 + 5 + 5 + 6 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2011045 + ... + 2013755.

Almost surely, 2^5455616400 is an apocalyptic number.

5455616400 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 5455616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435352928).

5455616400 is an abundant number, since it is smaller than the sum of its proper divisors (15415089456).

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

5455616400 is a wasteful number, since it uses less digits than its factorization.

5455616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5455616400 is about 73862.1445667535. The cubic root of 5455616400 is about 1760.4131691834.

The spelling of 5455616400 in words is "five billion, four hundred fifty-five million, six hundred sixteen thousand, four hundred".