5298628608000 has 2880 divisors, whose sum is σ = 24545743971840. Its totient is φ = 1117952409600.

The previous prime is 5298628607989. The next prime is 5298628608029. The reversal of 5298628608000 is 8068268925.

5298628608000 is a `hidden beast` number, since 5 + 2 + 9 + 8 + 6 + 28 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

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, 407586815994 + ... + 407586816006.

It is an arithmetic number, because the mean of its divisors is an integer number (8522827768).

Almost surely, 2^{5298628608000} is an apocalyptic number.

5298628608000 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 5298628608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12272871985920).

5298628608000 is an abundant number, since it is smaller than the sum of its proper divisors (19247115363840).

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

5298628608000 is an frugal number, since it uses more digits than its factorization.

5298628608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 5298628608000 in words is "five trillion, two hundred ninety-eight billion, six hundred twenty-eight million, six hundred eight thousand".