260855676469440 has 672 divisors, whose sum is σ = 1013299272498240. Its totient is φ = 63489138425856.

The previous prime is 260855676469429. The next prime is 260855676469501. The reversal of 260855676469440 is 44964676558062.

It is a happy number.

260855676469440 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 5 + 5 + 67 + 64 + 69 + 440 = 666.

260855676469440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88518612 + ... + 91418028.

It is an arithmetic number, because the mean of its divisors is an integer number (1507885822170).

Almost surely, 2^{260855676469440} is an apocalyptic number.

260855676469440 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 260855676469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506649636249120).

260855676469440 is an abundant number, since it is smaller than the sum of its proper divisors (752443596028800).

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

260855676469440 is a wasteful number, since it uses less digits than its factorization.

260855676469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899551 (or 2899529 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 72.

The spelling of 260855676469440 in words is "two hundred sixty trillion, eight hundred fifty-five billion, six hundred seventy-six million, four hundred sixty-nine thousand, four hundred forty".