258526326240 has 960 divisors, whose sum is σ = 1129115344896. Its totient is φ = 54246371328.

The previous prime is 258526326229. The next prime is 258526326257. The reversal of 258526326240 is 42623625852.

258526326240 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 2 + 632 + 6 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×258526326240² (a number of 24 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 262996789 + ... + 262997771.

Almost surely, 2^258526326240 is an apocalyptic number.

258526326240 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 258526326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564557672448).

258526326240 is an abundant number, since it is smaller than the sum of its proper divisors (870589018656).

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

258526326240 is a wasteful number, since it uses less digits than its factorization.

258526326240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 258526326240 in words is "two hundred fifty-eight billion, five hundred twenty-six million, three hundred twenty-six thousand, two hundred forty".