5214576246000 has 640 divisors, whose sum is σ = 19168833116160. Its totient is φ = 1207922688000.

The previous prime is 5214576245939. The next prime is 5214576246001. The reversal of 5214576246000 is 6426754125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214576246001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185643957 + ... + 185672043.

It is an arithmetic number, because the mean of its divisors is an integer number (29951301744).

Almost surely, 2^{5214576246000} is an apocalyptic number.

5214576246000 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 5214576246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9584416558080).

5214576246000 is an abundant number, since it is smaller than the sum of its proper divisors (13954256870160).

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

5214576246000 is a wasteful number, since it uses less digits than its factorization.

5214576246000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28250 (or 28234 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 5214576246000 in words is "five trillion, two hundred fourteen billion, five hundred seventy-six million, two hundred forty-six thousand".