5419625436000 has 960 divisors, whose sum is σ = 21193042590720. Its totient is φ = 1352544998400.

The previous prime is 5419625435993. The next prime is 5419625436011. The reversal of 5419625436000 is 6345269145.

5419625436000 is a `hidden beast` number, since 5 + 4 + 19 + 6 + 25 + 4 + 3 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 510942697 + ... + 510953303.

It is an arithmetic number, because the mean of its divisors is an integer number (22076086032).

Almost surely, 2^{5419625436000} is an apocalyptic number.

5419625436000 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 5419625436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596521295360).

5419625436000 is an abundant number, since it is smaller than the sum of its proper divisors (15773417154720).

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

5419625436000 is a wasteful number, since it uses less digits than its factorization.

5419625436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10746 (or 10719 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 5419625436000 in words is "five trillion, four hundred nineteen billion, six hundred twenty-five million, four hundred thirty-six thousand".