260961721488 has 400 divisors, whose sum is σ = 853506260992. Its totient is φ = 76422528000.

The previous prime is 260961721409. The next prime is 260961721543. The reversal of 260961721488 is 884127169062.

It is a happy number.

260961721488 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 617 + 2 + 14 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31855473 + ... + 31863663.

Almost surely, 2^260961721488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260961721488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426753130496).

260961721488 is an abundant number, since it is smaller than the sum of its proper divisors (592544539504).

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

260961721488 is a wasteful number, since it uses less digits than its factorization.

260961721488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8316 (or 8301 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 260961721488 in words is "two hundred sixty billion, nine hundred sixty-one million, seven hundred twenty-one thousand, four hundred eighty-eight".