258013809648 has 240 divisors, whose sum is σ = 906852672000. Its totient is φ = 69838215552.

The previous prime is 258013809643. The next prime is 258013809679. The reversal of 258013809648 is 846908310852.

258013809648 is a `hidden beast` number, since 2 + 580 + 13 + 8 + 0 + 9 + 6 + 48 = 666.

It is a super-2 number, since 2×258013809648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 258013809594 and 258013809603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258013809643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81433 + ... + 722951.

It is an arithmetic number, because the mean of its divisors is an integer number (3778552800).

Almost surely, 2^258013809648 is an apocalyptic number.

258013809648 is a gapful number since it is divisible by the number (28) 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 258013809648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453426336000).

258013809648 is an abundant number, since it is smaller than the sum of its proper divisors (648838862352).

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

258013809648 is a wasteful number, since it uses less digits than its factorization.

258013809648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641569 (or 641550 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 258013809648 in words is "two hundred fifty-eight billion, thirteen million, eight hundred nine thousand, six hundred forty-eight".