378880385522500 has 45 divisors (see below), whose sum is σ = 828537755352769. Its totient is φ = 151551764912000.

The previous prime is 378880385522477. The next prime is 378880385522521. The reversal of 378880385522500 is 5225583088873.

The square root of 378880385522500 is 19464850.

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

It can be written as a sum of positive squares in 7 ways, for example, as 309721070023236 + 69159315499264 = 17598894^2 + 8316208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 973047852 + ... + 973437148.

Almost surely, 2^{378880385522500} is an apocalyptic number.

378880385522500 is the 19464850-th square number.

It is an amenable number.

378880385522500 is an abundant number, since it is smaller than the sum of its proper divisors (449657369830269).

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

378880385522500 is an frugal number, since it uses more digits than its factorization.

378880385522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778618 (or 389304 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 64.

The spelling of 378880385522500 in words is "three hundred seventy-eight trillion, eight hundred eighty billion, three hundred eighty-five million, five hundred twenty-two thousand, five hundred".