5413996800 has 864 divisors, whose sum is σ = 22354819200. Its totient is φ = 1274019840.

The previous prime is 5413996793. The next prime is 5413996811. The reversal of 5413996800 is 86993145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×5413996800² = 58622722700820480000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55814352 + ... + 55814448.

Almost surely, 2^5413996800 is an apocalyptic number.

5413996800 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 5413996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11177409600).

5413996800 is an abundant number, since it is smaller than the sum of its proper divisors (16940822400).

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

5413996800 is a wasteful number, since it uses less digits than its factorization.

5413996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5413996800 is about 73579.8668115131. The cubic root of 5413996800 is about 1755.9251459453.

The spelling of 5413996800 in words is "five billion, four hundred thirteen million, nine hundred ninety-six thousand, eight hundred".