260553298417920 has 1296 divisors, whose sum is σ = 999184099368000. Its totient is φ = 62505252716544.

The previous prime is 260553298417883. The next prime is 260553298417961. The reversal of 260553298417920 is 29714892355062.

260553298417920 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 532 + 9 + 8 + 4 + 1 + 7 + 92 + 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 143 ways as a sum of consecutive naturals, for example, 16094457186 + ... + 16094473374.

It is a 1-persistent number, because it is pandigital, but 2⋅260553298417920 = 521106596835840 is not.

Almost surely, 2^{260553298417920} is an apocalyptic number.

260553298417920 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 260553298417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499592049684000).

260553298417920 is an abundant number, since it is smaller than the sum of its proper divisors (738630800950080).

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

260553298417920 is a wasteful number, since it uses less digits than its factorization.

260553298417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16420 (or 16380 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 260553298417920 in words is "two hundred sixty trillion, five hundred fifty-three billion, two hundred ninety-eight million, four hundred seventeen thousand, nine hundred twenty".