5207034348000 has 384 divisors, whose sum is σ = 19069949283840. Its totient is φ = 1380019161600.

The previous prime is 5207034347981. The next prime is 5207034348007. The reversal of 5207034348000 is 8434307025.

It is a happy number.

5207034348000 is a `hidden beast` number, since 520 + 70 + 34 + 34 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×5207034348000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5207034348007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17456107 + ... + 17751893.

It is an arithmetic number, because the mean of its divisors is an integer number (49661326260).

Almost surely, 2^{5207034348000} is an apocalyptic number.

5207034348000 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 5207034348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534974641920).

5207034348000 is an abundant number, since it is smaller than the sum of its proper divisors (13862914935840).

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

5207034348000 is a wasteful number, since it uses less digits than its factorization.

5207034348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295984 (or 295960 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 5207034348000 in words is "five trillion, two hundred seven billion, thirty-four million, three hundred forty-eight thousand".