5250479616000 has 1040 divisors, whose sum is σ = 19692788832288. Its totient is φ = 1397440512000.

The previous prime is 5250479615881. The next prime is 5250479616013. The reversal of 5250479616000 is 6169740525.

5250479616000 is a `hidden beast` number, since 5 + 25 + 0 + 4 + 7 + 9 + 616 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10077695740 + ... + 10077696260.

Almost surely, 2^{5250479616000} is an apocalyptic number.

5250479616000 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 5250479616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9846394416144).

5250479616000 is an abundant number, since it is smaller than the sum of its proper divisors (14442309216288).

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

5250479616000 is an frugal number, since it uses more digits than its factorization.

5250479616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 5250479616000 in words is "five trillion, two hundred fifty billion, four hundred seventy-nine million, six hundred sixteen thousand".