5475984998400 has 912 divisors, whose sum is σ = 22998499370880. Its totient is φ = 1251370598400.

The previous prime is 5475984998357. The next prime is 5475984998401. The reversal of 5475984998400 is 48994895745.

5475984998400 is a `hidden beast` number, since 5 + 4 + 7 + 5 + 98 + 49 + 98 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5475984998401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1238628190 + ... + 1238632610.

Almost surely, 2^{5475984998400} is an apocalyptic number.

5475984998400 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 5475984998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499249685440).

5475984998400 is an abundant number, since it is smaller than the sum of its proper divisors (17522514372480).

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

5475984998400 is an frugal number, since it uses more digits than its factorization.

5475984998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 5475984998400 in words is "five trillion, four hundred seventy-five billion, nine hundred eighty-four million, nine hundred ninety-eight thousand, four hundred".