5246455449600 has 576 divisors, whose sum is σ = 19401258240000. Its totient is φ = 1389610598400.

The previous prime is 5246455449481. The next prime is 5246455449601. The reversal of 5246455449600 is 69445546425.

5246455449600 is a `hidden beast` number, since 5 + 2 + 4 + 6 + 4 + 5 + 544 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5246455449601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 205964865 + ... + 205990335.

It is an arithmetic number, because the mean of its divisors is an integer number (33682740000).

Almost surely, 2^{5246455449600} is an apocalyptic number.

5246455449600 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 5246455449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9700629120000).

5246455449600 is an abundant number, since it is smaller than the sum of its proper divisors (14154802790400).

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

5246455449600 is a wasteful number, since it uses less digits than its factorization.

5246455449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25661 (or 25630 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 5246455449600 in words is "five trillion, two hundred forty-six billion, four hundred fifty-five million, four hundred forty-nine thousand, six hundred".