258469782480 has 720 divisors, whose sum is σ = 1124974403280. Its totient is φ = 52651081728.

The previous prime is 258469782469. The next prime is 258469782553. The reversal of 258469782480 is 84287964852.

258469782480 is a `hidden beast` number, since 2 + 5 + 8 + 469 + 78 + 24 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 59218249104 + 199251533376 = 243348^2 + 446376^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13290844 + ... + 13310276.

It is an arithmetic number, because the mean of its divisors is an integer number (1562464449).

Almost surely, 2^258469782480 is an apocalyptic number.

258469782480 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 258469782480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562487201640).

258469782480 is an abundant number, since it is smaller than the sum of its proper divisors (866504620800).

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

258469782480 is a wasteful number, since it uses less digits than its factorization.

258469782480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19508 (or 19492 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 258469782480 in words is "two hundred fifty-eight billion, four hundred sixty-nine million, seven hundred eighty-two thousand, four hundred eighty".