5555616422400 has 1920 divisors, whose sum is σ = 23100784312320. Its totient is φ = 1295917056000.

The previous prime is 5555616422371. The next prime is 5555616422417. The reversal of 5555616422400 is 42246165555.

5555616422400 is a `hidden beast` number, since 5 + 5 + 5 + 5 + 616 + 4 + 2 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 17863718245 + ... + 17863718555.

It is an arithmetic number, because the mean of its divisors is an integer number (12031658496).

Almost surely, 2^{5555616422400} is an apocalyptic number.

5555616422400 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 5555616422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11550392156160).

5555616422400 is an abundant number, since it is smaller than the sum of its proper divisors (17545167889920).

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

5555616422400 is a wasteful number, since it uses less digits than its factorization.

5555616422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 5555616422400 in words is "five trillion, five hundred fifty-five billion, six hundred sixteen million, four hundred twenty-two thousand, four hundred".