260997120000 has 760 divisors, whose sum is σ = 982723552800. Its totient is φ = 68419584000.

The previous prime is 260997119993. The next prime is 260997120017. The reversal of 260997120000 is 21799062.

It is a super-3 number, since 3×260997120000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4423679971 + ... + 4423680029.

Almost surely, 2^260997120000 is an apocalyptic number.

260997120000 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 260997120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491361776400).

260997120000 is an abundant number, since it is smaller than the sum of its proper divisors (721726432800).

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

260997120000 is an frugal number, since it uses more digits than its factorization.

260997120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 260997120000 in words is "two hundred sixty billion, nine hundred ninety-seven million, one hundred twenty thousand".