260253681246720 has 1920 divisors, whose sum is σ = 1133731536537600. Its totient is φ = 56268049711104.

The previous prime is 260253681246673. The next prime is 260253681246721. The reversal of 260253681246720 is 27642186352062.

260253681246720 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 536 + 8 + 1 + 24 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (260253681246721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46782970659 + ... + 46782976221.

It is an arithmetic number, because the mean of its divisors is an integer number (590485175280).

Almost surely, 2^{260253681246720} is an apocalyptic number.

260253681246720 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 260253681246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566865768268800).

260253681246720 is an abundant number, since it is smaller than the sum of its proper divisors (873477855290880).

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

260253681246720 is a wasteful number, since it uses less digits than its factorization.

260253681246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 260253681246720 in words is "two hundred sixty trillion, two hundred fifty-three billion, six hundred eighty-one million, two hundred forty-six thousand, seven hundred twenty".