260171553312 has 384 divisors, whose sum is σ = 899516620800. Its totient is φ = 72279475200.

The previous prime is 260171553287. The next prime is 260171553319. The reversal of 260171553312 is 213355171062.

260171553312 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 71 + 553 + 31 + 2 = 666.

260171553312 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 (36).

It is not an unprimeable number, because it can be changed into a prime (260171553319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5574618 + ... + 5621094.

It is an arithmetic number, because the mean of its divisors is an integer number (2342491200).

Almost surely, 2^260171553312 is an apocalyptic number.

260171553312 is a gapful number since it is divisible by the number (22) 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 260171553312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449758310400).

260171553312 is an abundant number, since it is smaller than the sum of its proper divisors (639345067488).

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

260171553312 is a wasteful number, since it uses less digits than its factorization.

260171553312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46557 (or 46543 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 260171553312 in words is "two hundred sixty billion, one hundred seventy-one million, five hundred fifty-three thousand, three hundred twelve".