258478072805376 has 144 divisors (see below), whose sum is σ = 746643759661800. Its totient is φ = 86146474033152.

The previous prime is 258478072805347. The next prime is 258478072805413. The reversal of 258478072805376 is 673508270874852.

258478072805376 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 7 + 8 + 0 + 7 + 2 + 80 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122615175 + ... + 124705401.

Almost surely, 2^{258478072805376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258478072805376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373321879830900).

258478072805376 is an abundant number, since it is smaller than the sum of its proper divisors (488165686856424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258478072805376 is a wasteful number, since it uses less digits than its factorization.

258478072805376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096964 (or 2096941 counting only the distinct ones).

The product of its (nonzero) digits is 1264435200, while the sum is 72.

The spelling of 258478072805376 in words is "two hundred fifty-eight trillion, four hundred seventy-eight billion, seventy-two million, eight hundred five thousand, three hundred seventy-six".