5387212800 has 432 divisors, whose sum is σ = 20054263320. Its totient is φ = 1433272320.

The previous prime is 5387212763. The next prime is 5387212813. The reversal of 5387212800 is 82127835.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12441384 + ... + 12441816.

Almost surely, 2^5387212800 is an apocalyptic number.

5387212800 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 5387212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10027131660).

5387212800 is an abundant number, since it is smaller than the sum of its proper divisors (14667050520).

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

5387212800 is an equidigital number, since it uses as much as digits as its factorization.

5387212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5387212800 is about 73397.6348392780. The cubic root of 5387212800 is about 1753.0247336061.

The spelling of 5387212800 in words is "five billion, three hundred eighty-seven million, two hundred twelve thousand, eight hundred".