5347948800 has 216 divisors, whose sum is σ = 17952288480. Its totient is φ = 1401651200.

The previous prime is 5347948763. The next prime is 5347948807. The reversal of 5347948800 is 88497435.

It is a super-3 number, since 3×5347948800³ (a number of 30 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5347948800.

It is not an unprimeable number, because it can be changed into a prime (5347948807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1130440 + ... + 1135160.

Almost surely, 2^5347948800 is an apocalyptic number.

5347948800 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 5347948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976144240).

5347948800 is an abundant number, since it is smaller than the sum of its proper divisors (12604339680).

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

5347948800 is a wasteful number, since it uses less digits than its factorization.

5347948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4809 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 5347948800 is about 73129.6711328582. The cubic root of 5347948800 is about 1748.7554470901.

The spelling of 5347948800 in words is "five billion, three hundred forty-seven million, nine hundred forty-eight thousand, eight hundred".