258261903900 has 2592 divisors, whose sum is σ = 1227095835840. Its totient is φ = 45984153600.

The previous prime is 258261903899. The next prime is 258261903931. The reversal of 258261903900 is 9309162852.

258261903900 is a `hidden beast` number, since 2 + 58 + 26 + 190 + 390 + 0 = 666.

258261903900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×258261903900² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 3537834264 + ... + 3537834336.

Almost surely, 2^258261903900 is an apocalyptic number.

258261903900 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 258261903900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613547917920).

258261903900 is an abundant number, since it is smaller than the sum of its proper divisors (968833931940).

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

258261903900 is a wasteful number, since it uses less digits than its factorization.

258261903900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 258261903900 in words is "two hundred fifty-eight billion, two hundred sixty-one million, nine hundred three thousand, nine hundred".