258400687005 has 64 divisors (see below), whose sum is σ = 462282912000. Its totient is φ = 136943758080.

The previous prime is 258400686989. The next prime is 258400687007. The reversal of 258400687005 is 500786004852.

258400687005 is a `hidden beast` number, since 2 + 584 + 0 + 0 + 68 + 7 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 258400687005 - 2⁴ = 258400686989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258400687007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37846402 + ... + 37853228.

It is an arithmetic number, because the mean of its divisors is an integer number (7223170500).

Almost surely, 2^258400687005 is an apocalyptic number.

It is an amenable number.

258400687005 is a deficient number, since it is larger than the sum of its proper divisors (203882224995).

258400687005 is a wasteful number, since it uses less digits than its factorization.

258400687005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8571 (or 8565 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 258400687005 in words is "two hundred fifty-eight billion, four hundred million, six hundred eighty-seven thousand, five".