258920180964 has 117 divisors (see below), whose sum is σ = 681618093177. Its totient is φ = 86059429776.

The previous prime is 258920180957. The next prime is 258920180969. The reversal of 258920180964 is 469081029852.

It is a happy number.

The square root of 258920180964 is 508842.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 190045427364 + 68874753600 = 435942^2 + 262440^2 .

It is a super-2 number, since 2×258920180964² (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 self number, because there is not a number n which added to its sum of digits gives 258920180964.

It is not an unprimeable number, because it can be changed into a prime (258920180969) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 741891462 + ... + 741891810.

Almost surely, 2^258920180964 is an apocalyptic number.

258920180964 is the 508842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258920180964

258920180964 is an abundant number, since it is smaller than the sum of its proper divisors (422697912213).

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

258920180964 is an frugal number, since it uses more digits than its factorization.

258920180964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 258920180964 in words is "two hundred fifty-eight billion, nine hundred twenty million, one hundred eighty thousand, nine hundred sixty-four".