5378755600 has 135 divisors (see below), whose sum is σ = 13709417463. Its totient is φ = 2027704320.

The previous prime is 5378755589. The next prime is 5378755607. The reversal of 5378755600 is 65578735.

The square root of 5378755600 is 73340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 865065744 + 4513689856 = 29412^2 + 67184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5378755607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27869104 + ... + 27869296.

Almost surely, 2^5378755600 is an apocalyptic number.

5378755600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5378755600 is the 73340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5378755600

5378755600 is an abundant number, since it is smaller than the sum of its proper divisors (8330661863).

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

5378755600 is a wasteful number, since it uses less digits than its factorization.

5378755600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 46.

The cubic root of 5378755600 is about 1752.1069154189.

The spelling of 5378755600 in words is "five billion, three hundred seventy-eight million, seven hundred fifty-five thousand, six hundred".