5408612352000 has 3264 divisors, whose sum is σ = 25007591831040. Its totient is φ = 1146617856000.

The previous prime is 5408612351969. The next prime is 5408612352067. The reversal of 5408612352000 is 2532168045.

5408612352000 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 6 + 123 + 520 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 284663807991 + ... + 284663808009.

Almost surely, 2^{5408612352000} is an apocalyptic number.

5408612352000 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 5408612352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12503795915520).

5408612352000 is an abundant number, since it is smaller than the sum of its proper divisors (19598979479040).

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

5408612352000 is an equidigital number, since it uses as much as digits as its factorization.

5408612352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 5408612352000 in words is "five trillion, four hundred eight billion, six hundred twelve million, three hundred fifty-two thousand".