5838073920 has 448 divisors, whose sum is σ = 23841699840. Its totient is φ = 1317206016.

The previous prime is 5838073919. The next prime is 5838073949. The reversal of 5838073920 is 293708385.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5019259 + ... + 5020421.

It is an arithmetic number, because the mean of its divisors is an integer number (53218080).

Almost surely, 2^5838073920 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 5838073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11920849920).

5838073920 is an abundant number, since it is smaller than the sum of its proper divisors (18003625920).

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

5838073920 is a wasteful number, since it uses less digits than its factorization.

5838073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5838073920 is about 76407.2897045825. The cubic root of 5838073920 is about 1800.6246720776.

The spelling of 5838073920 in words is "five billion, eight hundred thirty-eight million, seventy-three thousand, nine hundred twenty".