258397421909760 has 2592 divisors, whose sum is σ = 1098457960803840. Its totient is φ = 54920335785984.

The previous prime is 258397421909743. The next prime is 258397421909773. The reversal of 258397421909760 is 67909124793852.

258397421909760 is a `hidden beast` number, since 2 + 5 + 8 + 397 + 4 + 2 + 1 + 90 + 97 + 60 = 666.

It is a super-2 number, since 2×258397421909760² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 553313537047 + ... + 553313537513.

It is an arithmetic number, because the mean of its divisors is an integer number (423787793520).

It is a 2-persistent number, because it is pandigital, and so is 2⋅258397421909760 = 516794843819520, but 3⋅258397421909760 = 775192265729280 is not.

Almost surely, 2^{258397421909760} is an apocalyptic number.

258397421909760 is a gapful number since it is divisible by the number (20) 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 258397421909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549228980401920).

258397421909760 is an abundant number, since it is smaller than the sum of its proper divisors (840060538894080).

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

258397421909760 is a wasteful number, since it uses less digits than its factorization.

258397421909760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 258397421909760 in words is "two hundred fifty-eight trillion, three hundred ninety-seven billion, four hundred twenty-one million, nine hundred nine thousand, seven hundred sixty".