5619762720000 has 2160 divisors, whose sum is σ = 24611718479040. Its totient is φ = 1256048640000.

The previous prime is 5619762719993. The next prime is 5619762720001. The reversal of 5619762720000 is 272679165.

5619762720000 is a `hidden beast` number, since 5 + 6 + 19 + 7 + 627 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-4 number, since 4×5619762720000⁴ (a number of 52 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5619762720001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6795359587 + ... + 6795360413.

Almost surely, 2^{5619762720000} is an apocalyptic number.

5619762720000 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 5619762720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12305859239520).

5619762720000 is an abundant number, since it is smaller than the sum of its proper divisors (18991955759040).

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

5619762720000 is a wasteful number, since it uses less digits than its factorization.

5619762720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 5619762720000 in words is "five trillion, six hundred nineteen billion, seven hundred sixty-two million, seven hundred twenty thousand".