1258297286400 has 2160 divisors, whose sum is σ = 6006055587840. Its totient is φ = 252216115200.

The previous prime is 1258297286339. The next prime is 1258297286401. The reversal of 1258297286400 is 46827928521.

1258297286400 is a `hidden beast` number, since 12 + 5 + 82 + 9 + 72 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258297286401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1157586657 + ... + 1157587743.

Almost surely, 2^{1258297286400} is an apocalyptic number.

1258297286400 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 1258297286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003027793920).

1258297286400 is an abundant number, since it is smaller than the sum of its proper divisors (4747758301440).

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

1258297286400 is a wasteful number, since it uses less digits than its factorization.

1258297286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1144 counting only the distinct ones).

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

The spelling of 1258297286400 in words is "one trillion, two hundred fifty-eight billion, two hundred ninety-seven million, two hundred eighty-six thousand, four hundred".