5821880313600 has 756 divisors, whose sum is σ = 23267393484216. Its totient is φ = 1433063301120.

The previous prime is 5821880313553. The next prime is 5821880313659. The reversal of 5821880313600 is 63130881285.

5821880313600 is a `hidden beast` number, since 5 + 8 + 2 + 1 + 8 + 8 + 0 + 31 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 60604807 + ... + 60700793.

Almost surely, 2^{5821880313600} is an apocalyptic number.

5821880313600 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 5821880313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11633696742108).

5821880313600 is an abundant number, since it is smaller than the sum of its proper divisors (17445513170616).

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

5821880313600 is an equidigital number, since it uses as much as digits as its factorization.

5821880313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96044 (or 96010 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 5821880313600 in words is "five trillion, eight hundred twenty-one billion, eight hundred eighty million, three hundred thirteen thousand, six hundred".