5419008000 has 768 divisors, whose sum is σ = 23309488800. Its totient is φ = 1238630400.

The previous prime is 5419007981. The next prime is 5419008053. The reversal of 5419008000 is 8009145.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774143997 + ... + 774144003.

Almost surely, 2^5419008000 is an apocalyptic number.

5419008000 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 5419008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11654744400).

5419008000 is an abundant number, since it is smaller than the sum of its proper divisors (17890480800).

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

5419008000 is an frugal number, since it uses more digits than its factorization.

5419008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5419008000 is about 73613.9117286943. The cubic root of 5419008000 is about 1756.4667408110.

The spelling of 5419008000 in words is "five billion, four hundred nineteen million, eight thousand".