5380540800 has 192 divisors, whose sum is σ = 18765205200. Its totient is φ = 1350369280.

The previous prime is 5380540787. The next prime is 5380540829. The reversal of 5380540800 is 80450835.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146716 + ... + 179684.

Almost surely, 2^5380540800 is an apocalyptic number.

5380540800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5380540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9382602600).

5380540800 is an abundant number, since it is smaller than the sum of its proper divisors (13384664400).

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

5380540800 is a wasteful number, since it uses less digits than its factorization.

5380540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33013 (or 32996 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 5380540800 is about 73352.1697020613. The cubic root of 5380540800 is about 1752.3007344307.

The spelling of 5380540800 in words is "five billion, three hundred eighty million, five hundred forty thousand, eight hundred".