5378089600 has 96 divisors (see below), whose sum is σ = 14307638940. Its totient is φ = 1985740800.

The previous prime is 5378089573. The next prime is 5378089603. The reversal of 5378089600 is 69808735.

It can be written as a sum of positive squares in 6 ways, for example, as 2688215104 + 2689874496 = 51848^2 + 51864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5378089603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23041 + ... + 106240.

Almost surely, 2^5378089600 is an apocalyptic number.

5378089600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5378089600 is an abundant number, since it is smaller than the sum of its proper divisors (8929549340).

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

5378089600 is a wasteful number, since it uses less digits than its factorization.

5378089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129318 (or 129301 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 5378089600 is about 73335.4593631212. The cubic root of 5378089600 is about 1752.0345968718.

It can be divided in two parts, 53780 and 89600, that added together give a triangular number (143380 = T₅₃₅).

The spelling of 5378089600 in words is "five billion, three hundred seventy-eight million, eighty-nine thousand, six hundred".