5380138389600 has 2520 divisors, whose sum is σ = 23777120120040. Its totient is φ = 1180837232640.

The previous prime is 5380138389541. The next prime is 5380138389623. The reversal of 5380138389600 is 69838310835.

It is a happy number.

5380138389600 is a `hidden beast` number, since 53 + 80 + 1 + 383 + 89 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 283165178391 + ... + 283165178409.

It is an arithmetic number, because the mean of its divisors is an integer number (9435365127).

Almost surely, 2^{5380138389600} is an apocalyptic number.

5380138389600 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 5380138389600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11888560060020).

5380138389600 is an abundant number, since it is smaller than the sum of its proper divisors (18396981730440).

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

5380138389600 is an equidigital number, since it uses as much as digits as its factorization.

5380138389600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 5380138389600 in words is "five trillion, three hundred eighty billion, one hundred thirty-eight million, three hundred eighty-nine thousand, six hundred".