5213248128000 has 1408 divisors, whose sum is σ = 21291729338880. Its totient is φ = 1263071232000.

The previous prime is 5213248127953. The next prime is 5213248128029. The reversal of 5213248128000 is 8218423125.

It is a happy number.

5213248128000 is a `hidden beast` number, since 52 + 1 + 324 + 8 + 1 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3079295154 + ... + 3079296846.

It is an arithmetic number, because the mean of its divisors is an integer number (15121966860).

Almost surely, 2^{5213248128000} is an apocalyptic number.

5213248128000 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 5213248128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10645864669440).

5213248128000 is an abundant number, since it is smaller than the sum of its proper divisors (16078481210880).

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

5213248128000 is an equidigital number, since it uses as much as digits as its factorization.

5213248128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 5213248128000 in words is "five trillion, two hundred thirteen billion, two hundred forty-eight million, one hundred twenty-eight thousand".