57878757780481 has 81 divisors (see below), whose sum is σ = 68072719810473. Its totient is φ = 49167139380480.

The previous prime is 57878757780433. The next prime is 57878757780491. The reversal of 57878757780481 is 18408775787875.

The square root of 57878757780481 is 7607809.

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 1393913170881 + 56484844609600 = 1180641^2 + 7515640^2 .

It is not a de Polignac number, because 57878757780481 - 2¹¹ = 57878757778433 is a prime.

It is a super-2 number, since 2×57878757780481² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57878757780395 and 57878757780404.

It is not an unprimeable number, because it can be changed into a prime (57878757780401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 141512855005 + ... + 141512855413.

Almost surely, 2^{57878757780481} is an apocalyptic number.

57878757780481 is the 7607809-th square number.

57878757780481 is the 3803905-th centered octagonal number.

It is an amenable number.

57878757780481 is a deficient number, since it is larger than the sum of its proper divisors (10193962029992).

57878757780481 is an frugal number, since it uses more digits than its factorization.

57878757780481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 6884147200, while the sum is 82.

The spelling of 57878757780481 in words is "fifty-seven trillion, eight hundred seventy-eight billion, seven hundred fifty-seven million, seven hundred eighty thousand, four hundred eighty-one".