258048621960480 has 576 divisors, whose sum is σ = 956489830732800. Its totient is φ = 62975298355200.

The previous prime is 258048621960443. The next prime is 258048621960551. The reversal of 258048621960480 is 84069126840852.

258048621960480 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 4 + 8 + 6 + 2 + 19 + 604 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1046680425 + ... + 1046926935.

It is an arithmetic number, because the mean of its divisors is an integer number (1660572622800).

Almost surely, 2^{258048621960480} is an apocalyptic number.

258048621960480 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 258048621960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478244915366400).

258048621960480 is an abundant number, since it is smaller than the sum of its proper divisors (698441208772320).

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

258048621960480 is a wasteful number, since it uses less digits than its factorization.

258048621960480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247025 (or 247014 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 258048621960480 in words is "two hundred fifty-eight trillion, forty-eight billion, six hundred twenty-one million, nine hundred sixty thousand, four hundred eighty".