86793055461 has 48 divisors (see below), whose sum is σ = 149545543680. Its totient is φ = 47427415200.

The previous prime is 86793055441. The next prime is 86793055463. The reversal of 86793055461 is 16455039768.

86793055461 is a `hidden beast` number, since 8 + 6 + 7 + 93 + 0 + 5 + 546 + 1 = 666.

It is not a de Polignac number, because 86793055461 - 2¹⁰ = 86793054437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86793055398 and 86793055407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86793055463) 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, 10792480 + ... + 10800518.

It is an arithmetic number, because the mean of its divisors is an integer number (3115532160).

Almost surely, 2^86793055461 is an apocalyptic number.

It is an amenable number.

86793055461 is a deficient number, since it is larger than the sum of its proper divisors (62752488219).

86793055461 is a wasteful number, since it uses less digits than its factorization.

86793055461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15526 (or 15523 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 86793055461 in words is "eighty-six billion, seven hundred ninety-three million, fifty-five thousand, four hundred sixty-one".