5206476406000 has 320 divisors, whose sum is σ = 14162695672320. Its totient is φ = 1839544012800.

The previous prime is 5206476405997. The next prime is 5206476406031. The reversal of 5206476406000 is 6046746025.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69084339 + ... + 69159661.

It is an arithmetic number, because the mean of its divisors is an integer number (44258423976).

Almost surely, 2^{5206476406000} is an apocalyptic number.

5206476406000 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 5206476406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7081347836160).

5206476406000 is an abundant number, since it is smaller than the sum of its proper divisors (8956219266320).

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

5206476406000 is a wasteful number, since it uses less digits than its factorization.

5206476406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75489 (or 75473 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 5206476406000 in words is "five trillion, two hundred six billion, four hundred seventy-six million, four hundred six thousand".