258361246080 has 1024 divisors, whose sum is σ = 1115504640000. Its totient is φ = 55198900224.

The previous prime is 258361246079. The next prime is 258361246093. The reversal of 258361246080 is 80642163852.

258361246080 is a `hidden beast` number, since 2 + 5 + 8 + 36 + 1 + 2 + 4 + 608 + 0 = 666.

258361246080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181560249 + ... + 181561671.

It is an arithmetic number, because the mean of its divisors is an integer number (1089360000).

Almost surely, 2^258361246080 is an apocalyptic number.

258361246080 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 258361246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557752320000).

258361246080 is an abundant number, since it is smaller than the sum of its proper divisors (857143393920).

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

258361246080 is a wasteful number, since it uses less digits than its factorization.

258361246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 258361246080 in words is "two hundred fifty-eight billion, three hundred sixty-one million, two hundred forty-six thousand, eighty".