258768031680 has 168 divisors, whose sum is σ = 904645875744. Its totient is φ = 67873536000.

The previous prime is 258768031673. The next prime is 258768031681. The reversal of 258768031680 is 86130867852.

258768031680 is a `hidden beast` number, since 258 + 76 + 8 + 0 + 316 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258768031681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560796 + ... + 912155.

Almost surely, 2^258768031680 is an apocalyptic number.

258768031680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258768031680 is an abundant number, since it is smaller than the sum of its proper divisors (645877844064).

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

258768031680 is a wasteful number, since it uses less digits than its factorization.

258768031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473035 (or 1473022 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 258768031680 in words is "two hundred fifty-eight billion, seven hundred sixty-eight million, thirty-one thousand, six hundred eighty".