5204461363200 has 1008 divisors, whose sum is σ = 20456084316096. Its totient is φ = 1254319718400.

The previous prime is 5204461363193. The next prime is 5204461363243. The reversal of 5204461363200 is 23631644025.

5204461363200 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 4 + 6 + 13 + 632 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 3994213749 + ... + 3994215051.

Almost surely, 2^{5204461363200} is an apocalyptic number.

5204461363200 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 5204461363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10228042158048).

5204461363200 is an abundant number, since it is smaller than the sum of its proper divisors (15251622952896).

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

5204461363200 is a wasteful number, since it uses less digits than its factorization.

5204461363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 5204461363200 in words is "five trillion, two hundred four billion, four hundred sixty-one million, three hundred sixty-three thousand, two hundred".