258907968900 has 243 divisors, whose sum is σ = 944417542341. Its totient is φ = 59154540480.

The previous prime is 258907968863. The next prime is 258907968919. The reversal of 258907968900 is 9869709852.

The square root of 258907968900 is 508830.

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., 93206868804 + 165701100096 = 305298^2 + 407064^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 106853089 + ... + 106855511.

Almost surely, 2^258907968900 is an apocalyptic number.

258907968900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

258907968900 is the 508830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258907968900

258907968900 is an abundant number, since it is smaller than the sum of its proper divisors (685509573441).

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

258907968900 is a wasteful number, since it uses less digits than its factorization.

258907968900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 258907968900 in words is "two hundred fifty-eight billion, nine hundred seven million, nine hundred sixty-eight thousand, nine hundred".