27780007578057 has 48 divisors (see below), whose sum is σ = 48952592133120. Its totient is φ = 14826986949600.

The previous prime is 27780007578047. The next prime is 27780007578091. The reversal of 27780007578057 is 75087570008772.

27780007578057 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 0 + 0 + 0 + 7 + 578 + 0 + 57 = 666.

It is not a de Polignac number, because 27780007578057 - 2⁸ = 27780007577801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 27780007577985 and 27780007578003.

It is not an unprimeable number, because it can be changed into a prime (27780007578007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163351819 + ... + 163521792.

It is an arithmetic number, because the mean of its divisors is an integer number (1019845669440).

Almost surely, 2^{27780007578057} is an apocalyptic number.

It is an amenable number.

27780007578057 is a deficient number, since it is larger than the sum of its proper divisors (21172584555063).

27780007578057 is a wasteful number, since it uses less digits than its factorization.

27780007578057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326873714 (or 326873711 counting only the distinct ones).

The product of its (nonzero) digits is 53782400, while the sum is 63.

The spelling of 27780007578057 in words is "twenty-seven trillion, seven hundred eighty billion, seven million, five hundred seventy-eight thousand, fifty-seven".