5205398833152 has 1152 divisors, whose sum is σ = 19163184768000. Its totient is φ = 1389000130560.

The previous prime is 5205398833111. The next prime is 5205398833157. The reversal of 5205398833152 is 2513388935025.

It is a happy number.

5205398833152 is a `hidden beast` number, since 5 + 20 + 5 + 398 + 83 + 3 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (5205398833157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2435843028 + ... + 2435845164.

It is an arithmetic number, because the mean of its divisors is an integer number (16634709000).

Almost surely, 2^{5205398833152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205398833152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9581592384000).

5205398833152 is an abundant number, since it is smaller than the sum of its proper divisors (13957785934848).

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

5205398833152 is a wasteful number, since it uses less digits than its factorization.

5205398833152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5205398833152 in words is "five trillion, two hundred five billion, three hundred ninety-eight million, eight hundred thirty-three thousand, one hundred fifty-two".