5416961088 has 224 divisors, whose sum is σ = 18011778048. Its totient is φ = 1395763200.

The previous prime is 5416961083. The next prime is 5416961093. The reversal of 5416961088 is 8801696145.

It is an interprime number because it is at equal distance from previous prime (5416961083) and next prime (5416961093).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×5416961088² = 58686934857812287488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5416961083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935306 + ... + 1938102.

Almost surely, 2^5416961088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5416961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9005889024).

5416961088 is an abundant number, since it is smaller than the sum of its proper divisors (12594816960).

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

5416961088 is a wasteful number, since it uses less digits than its factorization.

5416961088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 5416961088 is about 73600.0073913040. The cubic root of 5416961088 is about 1756.2455573010.

The spelling of 5416961088 in words is "five billion, four hundred sixteen million, nine hundred sixty-one thousand, eighty-eight".