258616947028440 has 1024 divisors, whose sum is σ = 1048439213015040. Its totient is φ = 49285069332480.

The previous prime is 258616947028423. The next prime is 258616947028441. The reversal of 258616947028440 is 44820749616852.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258616947028441) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11689947219 + ... + 11689969341.

It is an arithmetic number, because the mean of its divisors is an integer number (1023866418960).

Almost surely, 2^{258616947028440} is an apocalyptic number.

258616947028440 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 258616947028440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524219606507520).

258616947028440 is an abundant number, since it is smaller than the sum of its proper divisors (789822265986600).

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

258616947028440 is a wasteful number, since it uses less digits than its factorization.

258616947028440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22792 (or 22788 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 66.

The spelling of 258616947028440 in words is "two hundred fifty-eight trillion, six hundred sixteen billion, nine hundred forty-seven million, twenty-eight thousand, four hundred forty".