5462603413200 has 720 divisors, whose sum is σ = 20097762946560. Its totient is φ = 1370162304000.

The previous prime is 5462603413153. The next prime is 5462603413207. The reversal of 5462603413200 is 23143062645.

5462603413200 is a `hidden beast` number, since 5 + 4 + 6 + 2 + 603 + 41 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5462603413207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10444748139 + ... + 10444748661.

It is an arithmetic number, because the mean of its divisors is an integer number (27913559648).

Almost surely, 2^{5462603413200} is an apocalyptic number.

5462603413200 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 5462603413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10048881473280).

5462603413200 is an abundant number, since it is smaller than the sum of its proper divisors (14635159533360).

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

5462603413200 is a wasteful number, since it uses less digits than its factorization.

5462603413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1354 counting only the distinct ones).

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

Adding to 5462603413200 its reverse (23143062645), we get a palindrome (5485746475845).

The spelling of 5462603413200 in words is "five trillion, four hundred sixty-two billion, six hundred three million, four hundred thirteen thousand, two hundred".