5348401920 has 576 divisors, whose sum is σ = 20073715200. Its totient is φ = 1347010560.

The previous prime is 5348401913. The next prime is 5348401951. The reversal of 5348401920 is 291048435.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87678690 + ... + 87678750.

It is an arithmetic number, because the mean of its divisors is an integer number (34850200).

Almost surely, 2^5348401920 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 5348401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036857600).

5348401920 is an abundant number, since it is smaller than the sum of its proper divisors (14725313280).

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

5348401920 is a wasteful number, since it uses less digits than its factorization.

5348401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5348401920 is about 73132.7691257483. The cubic root of 5348401920 is about 1748.8048351028.

The spelling of 5348401920 in words is "five billion, three hundred forty-eight million, four hundred one thousand, nine hundred twenty".