58087817649 has 24 divisors (see below), whose sum is σ = 85319520000. Its totient is φ = 38076255360.

The previous prime is 58087817609. The next prime is 58087817663. The reversal of 58087817649 is 94671878085.

58087817649 is a `hidden beast` number, since 580 + 8 + 7 + 8 + 1 + 7 + 6 + 49 = 666.

It is not a de Polignac number, because 58087817649 - 2¹¹ = 58087815601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58087817609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1852 + ... + 340850.

It is an arithmetic number, because the mean of its divisors is an integer number (3554980000).

Almost surely, 2^58087817649 is an apocalyptic number.

It is an amenable number.

58087817649 is a deficient number, since it is larger than the sum of its proper divisors (27231702351).

58087817649 is a wasteful number, since it uses less digits than its factorization.

58087817649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339325 (or 339322 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 58087817649 in words is "fifty-eight billion, eighty-seven million, eight hundred seventeen thousand, six hundred forty-nine".