1258097816320 has 72 divisors (see below), whose sum is σ = 3018761966304. Its totient is φ = 502366666752.

The previous prime is 1258097816201. The next prime is 1258097816329. The reversal of 1258097816320 is 236187908521.

It is a happy number.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1258097816329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 113164 + ... + 1590283.

It is an arithmetic number, because the mean of its divisors is an integer number (41927249532).

Almost surely, 2^{1258097816320} is an apocalyptic number.

1258097816320 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 1258097816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509380983152).

1258097816320 is an abundant number, since it is smaller than the sum of its proper divisors (1760664149984).

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

1258097816320 is an equidigital number, since it uses as much as digits as its factorization.

1258097816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704045 (or 1704031 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 1258097816320 in words is "one trillion, two hundred fifty-eight billion, ninety-seven million, eight hundred sixteen thousand, three hundred twenty".