2160564876288 has 1320 divisors, whose sum is σ = 8102242032192. Its totient is φ = 561460543488.

The previous prime is 2160564876257. The next prime is 2160564876293. The reversal of 2160564876288 is 8826784650612.

2160564876288 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 564 + 8 + 7 + 62 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9517906831 + ... + 9517907057.

Almost surely, 2^{2160564876288} is an apocalyptic number.

2160564876288 is a gapful number since it is divisible by the number (28) 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 2160564876288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051121016096).

2160564876288 is an abundant number, since it is smaller than the sum of its proper divisors (5941677155904).

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

2160564876288 is a wasteful number, since it uses less digits than its factorization.

2160564876288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 2160564876288 in words is "two trillion, one hundred sixty billion, five hundred sixty-four million, eight hundred seventy-six thousand, two hundred eighty-eight".