2155468404960 has 288 divisors, whose sum is σ = 7931193641280. Its totient is φ = 529917272064.

The previous prime is 2155468404917. The next prime is 2155468405019. The reversal of 2155468404960 is 694048645512.

It is a happy number.

2155468404960 is a `hidden beast` number, since 2 + 1 + 5 + 54 + 68 + 40 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2155468404897 and 2155468404906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15073317 + ... + 15215643.

It is an arithmetic number, because the mean of its divisors is an integer number (27538866810).

Almost surely, 2^{2155468404960} is an apocalyptic number.

2155468404960 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 2155468404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965596820640).

2155468404960 is an abundant number, since it is smaller than the sum of its proper divisors (5775725236320).

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

2155468404960 is a wasteful number, since it uses less digits than its factorization.

2155468404960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143170 (or 143159 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2155468404960 in words is "two trillion, one hundred fifty-five billion, four hundred sixty-eight million, four hundred four thousand, nine hundred sixty".