5435797248 has 576 divisors, whose sum is σ = 19844787200. Its totient is φ = 1451188224.

The previous prime is 5435797219. The next prime is 5435797271. The reversal of 5435797248 is 8427975345.

It is a happy number.

5435797248 is a `hidden beast` number, since 5 + 43 + 579 + 7 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×5435797248³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 4 and base 6.

It is a junction number, because it is equal to n+sod(n) for n = 5435797194 and 5435797203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74462940 + ... + 74463012.

Almost surely, 2^5435797248 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 5435797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9922393600).

5435797248 is an abundant number, since it is smaller than the sum of its proper divisors (14408989952).

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

5435797248 is an frugal number, since it uses more digits than its factorization.

5435797248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 5435797248 is about 73727.8593748659. The cubic root of 5435797248 is about 1758.2788407891.

The spelling of 5435797248 in words is "five billion, four hundred thirty-five million, seven hundred ninety-seven thousand, two hundred forty-eight".