5380945920 has 576 divisors, whose sum is σ = 22486464000. Its totient is φ = 1162543104.

The previous prime is 5380945897. The next prime is 5380945987. The reversal of 5380945920 is 295490835.

5380945920 is a `hidden beast` number, since 53 + 8 + 0 + 9 + 4 + 592 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12257061 + ... + 12257499.

It is an arithmetic number, because the mean of its divisors is an integer number (39039000).

Almost surely, 2^5380945920 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 5380945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11243232000).

5380945920 is an abundant number, since it is smaller than the sum of its proper divisors (17105518080).

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

5380945920 is a wasteful number, since it uses less digits than its factorization.

5380945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5380945920 is about 73354.9311225905. The cubic root of 5380945920 is about 1752.3447123060.

The spelling of 5380945920 in words is "five billion, three hundred eighty million, nine hundred forty-five thousand, nine hundred twenty".