5413056000 has 480 divisors, whose sum is σ = 19866790944. Its totient is φ = 1306624000.

The previous prime is 5413055983. The next prime is 5413056001. The reversal of 5413056000 is 6503145.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5413056001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23231884 + ... + 23232116.

Almost surely, 2^5413056000 is an apocalyptic number.

5413056000 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 5413056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9933395472).

5413056000 is an abundant number, since it is smaller than the sum of its proper divisors (14453734944).

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

5413056000 is a wasteful number, since it uses less digits than its factorization.

5413056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5413056000 is about 73573.4734805963. The cubic root of 5413056000 is about 1755.8234299589.

Adding to 5413056000 its reverse (6503145), we get a palindrome (5419559145).

The spelling of 5413056000 in words is "five billion, four hundred thirteen million, fifty-six thousand".