260638739787600 has 600 divisors, whose sum is σ = 976270032790272. Its totient is φ = 66468930739200.

The previous prime is 260638739787583. The next prime is 260638739787641. The reversal of 260638739787600 is 6787937836062.

260638739787600 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 3 + 8 + 7 + 3 + 9 + 7 + 8 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×260638739787600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4212584665 + ... + 4212646535.

Almost surely, 2^{260638739787600} is an apocalyptic number.

260638739787600 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 260638739787600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488135016395136).

260638739787600 is an abundant number, since it is smaller than the sum of its proper divisors (715631293002672).

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

260638739787600 is a wasteful number, since it uses less digits than its factorization.

260638739787600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67577 (or 67557 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 260638739787600 in words is "two hundred sixty trillion, six hundred thirty-eight billion, seven hundred thirty-nine million, seven hundred eighty-seven thousand, six hundred".