5348259840 has 1152 divisors, whose sum is σ = 24200467200. Its totient is φ = 990904320.

The previous prime is 5348259817. The next prime is 5348259869. The reversal of 5348259840 is 489528435.

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 5348259840.

It is a congruent number.

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, 281487351 + ... + 281487369.

It is an arithmetic number, because the mean of its divisors is an integer number (21007350).

Almost surely, 2^5348259840 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 5348259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12100233600).

5348259840 is an abundant number, since it is smaller than the sum of its proper divisors (18852207360).

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

5348259840 is a wasteful number, since it uses less digits than its factorization.

5348259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 5348259840 is about 73131.7977353217. The cubic root of 5348259840 is about 1748.7893493312.

The spelling of 5348259840 in words is "five billion, three hundred forty-eight million, two hundred fifty-nine thousand, eight hundred forty".