2160256198464 has 672 divisors, whose sum is σ = 8273052288000. Its totient is φ = 539741988864.

The previous prime is 2160256198439. The next prime is 2160256198519. The reversal of 2160256198464 is 4648916520612.

It is a happy number.

2160256198464 is a `hidden beast` number, since 2 + 16 + 0 + 2 + 5 + 619 + 8 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2160256198464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38812447 + ... + 38868065.

Almost surely, 2^{2160256198464} is an apocalyptic number.

2160256198464 is a gapful number since it is divisible by the number (24) 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 2160256198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136526144000).

2160256198464 is an abundant number, since it is smaller than the sum of its proper divisors (6112796089536).

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

2160256198464 is a wasteful number, since it uses less digits than its factorization.

2160256198464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55692 (or 55663 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2160256198464 in words is "two trillion, one hundred sixty billion, two hundred fifty-six million, one hundred ninety-eight thousand, four hundred sixty-four".