5462016000 has 480 divisors, whose sum is σ = 20937326592. Its totient is φ = 1238630400.

The previous prime is 5462015983. The next prime is 5462016017. The reversal of 5462016000 is 6102645.

It is an interprime number because it is at equal distance from previous prime (5462015983) and next prime (5462016017).

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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43007937 + ... + 43008063.

Almost surely, 2^5462016000 is an apocalyptic number.

5462016000 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 5462016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10468663296).

5462016000 is an abundant number, since it is smaller than the sum of its proper divisors (15475310592).

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

5462016000 is an equidigital number, since it uses as much as digits as its factorization.

5462016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5462016000 is about 73905.4531140971. The cubic root of 5462016000 is about 1761.1012391811.

Adding to 5462016000 its reverse (6102645), we get a palindrome (5468118645).

The spelling of 5462016000 in words is "five billion, four hundred sixty-two million, sixteen thousand".