5388521600 has 384 divisors, whose sum is σ = 17484595200. Its totient is φ = 1589760000.

The previous prime is 5388521563. The next prime is 5388521617. The reversal of 5388521600 is 61258835.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4681025 + ... + 4682175.

It is an arithmetic number, because the mean of its divisors is an integer number (45532800).

Almost surely, 2^5388521600 is an apocalyptic number.

5388521600 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 5388521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742297600).

5388521600 is an abundant number, since it is smaller than the sum of its proper divisors (12096073600).

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

5388521600 is a wasteful number, since it uses less digits than its factorization.

5388521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 5388521600 is about 73406.5501164576. The cubic root of 5388521600 is about 1753.1666853649.

The spelling of 5388521600 in words is "five billion, three hundred eighty-eight million, five hundred twenty-one thousand, six hundred".