258072554880 has 384 divisors, whose sum is σ = 1024590228480. Its totient is φ = 58633261056.

The previous prime is 258072554869. The next prime is 258072554933. The reversal of 258072554880 is 88455270852.

258072554880 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 7 + 2 + 554 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×258072554880² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6714277 + ... + 6752603.

It is an arithmetic number, because the mean of its divisors is an integer number (2668203720).

Almost surely, 2^258072554880 is an apocalyptic number.

258072554880 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 258072554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512295114240).

258072554880 is an abundant number, since it is smaller than the sum of its proper divisors (766517673600).

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

258072554880 is a wasteful number, since it uses less digits than its factorization.

258072554880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38526 (or 38511 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 258072554880 in words is "two hundred fifty-eight billion, seventy-two million, five hundred fifty-four thousand, eight hundred eighty".