260407664640000 has 3400 divisors, whose sum is σ = 1088016155756640. Its totient is φ = 61917364224000.

The previous prime is 260407664639917. The next prime is 260407664640037. The reversal of 260407664640000 is 46466704062.

It is a tau number, because it is divible by the number of its divisors (3400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 13705666559991 + ... + 13705666560009.

Almost surely, 2^{260407664640000} is an apocalyptic number.

260407664640000 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 260407664640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544008077878320).

260407664640000 is an abundant number, since it is smaller than the sum of its proper divisors (827608491116640).

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

260407664640000 is an frugal number, since it uses more digits than its factorization.

260407664640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 260407664640000 in words is "two hundred sixty trillion, four hundred seven billion, six hundred sixty-four million, six hundred forty thousand".