5250419328000 has 2816 divisors, whose sum is σ = 22990432518144. Its totient is φ = 1032192000000.

The previous prime is 5250419327981. The next prime is 5250419328013. The reversal of 5250419328000 is 8239140525.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5250419328000.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 73949567965 + ... + 73949568035.

Almost surely, 2^{5250419328000} is an apocalyptic number.

5250419328000 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 5250419328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11495216259072).

5250419328000 is an abundant number, since it is smaller than the sum of its proper divisors (17740013190144).

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

5250419328000 is a wasteful number, since it uses less digits than its factorization.

5250419328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 5250419328000 in words is "five trillion, two hundred fifty billion, four hundred nineteen million, three hundred twenty-eight thousand".