1258680653568 has 432 divisors, whose sum is σ = 4183822196736. Its totient is φ = 374785781760.

The previous prime is 1258680653519. The next prime is 1258680653609. The reversal of 1258680653568 is 8653560868521.

1258680653568 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 6 + 8 + 0 + 65 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1258680653568² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 25044721 + ... + 25094927.

Almost surely, 2^{1258680653568} is an apocalyptic number.

1258680653568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1258680653568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091911098368).

1258680653568 is an abundant number, since it is smaller than the sum of its proper divisors (2925141543168).

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

1258680653568 is an equidigital number, since it uses as much as digits as its factorization.

1258680653568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50282 (or 50256 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 1258680653568 in words is "one trillion, two hundred fifty-eight billion, six hundred eighty million, six hundred fifty-three thousand, five hundred sixty-eight".