1258867098720 has 2592 divisors, whose sum is σ = 5874654449664. Its totient is φ = 253487646720.

The previous prime is 1258867098689. The next prime is 1258867098773. The reversal of 1258867098720 is 278907688521.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 9912339297 + ... + 9912339423.

It is an arithmetic number, because the mean of its divisors is an integer number (2266456192).

Almost surely, 2^{1258867098720} is an apocalyptic number.

1258867098720 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 1258867098720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937327224832).

1258867098720 is an abundant number, since it is smaller than the sum of its proper divisors (4615787350944).

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

1258867098720 is a wasteful number, since it uses less digits than its factorization.

1258867098720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 1258867098720 in words is "one trillion, two hundred fifty-eight billion, eight hundred sixty-seven million, ninety-eight thousand, seven hundred twenty".