5184090590400 has 420 divisors, whose sum is σ = 19063654786000. Its totient is φ = 1381826304000.

The previous prime is 5184090590377. The next prime is 5184090590411. The reversal of 5184090590400 is 40950904815.

5184090590400 is a `hidden beast` number, since 5 + 18 + 4 + 0 + 9 + 0 + 590 + 40 + 0 = 666.

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 59 ways as a sum of consecutive naturals, for example, 356263125 + ... + 356277675.

Almost surely, 2^{5184090590400} is an apocalyptic number.

5184090590400 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 5184090590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9531827393000).

5184090590400 is an abundant number, since it is smaller than the sum of its proper divisors (13879564195600).

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

5184090590400 is a wasteful number, since it uses less digits than its factorization.

5184090590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17334 (or 17310 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 5184090590400 in words is "five trillion, one hundred eighty-four billion, ninety million, five hundred ninety thousand, four hundred".