5785224699600 has 720 divisors, whose sum is σ = 21113162004480. Its totient is φ = 1465155993600.

The previous prime is 5785224699589. The next prime is 5785224699613. The reversal of 5785224699600 is 69964225875.

5785224699600 is a `hidden beast` number, since 5 + 7 + 8 + 522 + 46 + 9 + 9 + 60 + 0 = 666.

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

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1525235304 + ... + 1525239096.

Almost surely, 2^{5785224699600} is an apocalyptic number.

5785224699600 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 5785224699600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10556581002240).

5785224699600 is an abundant number, since it is smaller than the sum of its proper divisors (15327937304880).

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

5785224699600 is a wasteful number, since it uses less digits than its factorization.

5785224699600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 5785224699600 in words is "five trillion, seven hundred eighty-five billion, two hundred twenty-four million, six hundred ninety-nine thousand, six hundred".