155259664560 has 1440 divisors, whose sum is σ = 716712841728. Its totient is φ = 29242736640.

The previous prime is 155259664543. The next prime is 155259664607. The reversal of 155259664560 is 65466952551.

It is a happy number.

155259664560 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 596 + 6 + 45 + 6 + 0 = 666.

155259664560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 155259664497 and 155259664506.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 683963167 + ... + 683963393.

Almost surely, 2^155259664560 is an apocalyptic number.

155259664560 is a gapful number since it is divisible by the number (10) 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 155259664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358356420864).

155259664560 is an abundant number, since it is smaller than the sum of its proper divisors (561453177168).

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

155259664560 is a wasteful number, since it uses less digits than its factorization.

155259664560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 155259664560 in words is "one hundred fifty-five billion, two hundred fifty-nine million, six hundred sixty-four thousand, five hundred sixty".