1258363986120 has 256 divisors, whose sum is σ = 4444956000000. Its totient is φ = 315768139776.

The previous prime is 1258363986097. The next prime is 1258363986161. The reversal of 1258363986120 is 216893638521.

1258363986120 is a `hidden beast` number, since 1 + 2 + 583 + 6 + 39 + 8 + 6 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2851696 + ... + 3263264.

It is an arithmetic number, because the mean of its divisors is an integer number (17363109375).

Almost surely, 2^{1258363986120} is an apocalyptic number.

1258363986120 is a gapful number since it is divisible by the number (10) 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 1258363986120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222478000000).

1258363986120 is an abundant number, since it is smaller than the sum of its proper divisors (3186592013880).

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

1258363986120 is a wasteful number, since it uses less digits than its factorization.

1258363986120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411757 (or 411747 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1258363986120 in words is "one trillion, two hundred fifty-eight billion, three hundred sixty-three million, nine hundred eighty-six thousand, one hundred twenty".