2153859664320 has 1792 divisors, whose sum is σ = 9807049728000. Its totient is φ = 441865912320.

The previous prime is 2153859664309. The next prime is 2153859664339. The reversal of 2153859664320 is 234669583512.

It is a happy number.

2153859664320 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 8 + 596 + 6 + 43 + 2 + 0 = 666.

It is a super-2 number, since 2×2153859664320² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 1425452365 + ... + 1425453875.

It is an arithmetic number, because the mean of its divisors is an integer number (5472684000).

Almost surely, 2^{2153859664320} is an apocalyptic number.

2153859664320 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 2153859664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903524864000).

2153859664320 is an abundant number, since it is smaller than the sum of its proper divisors (7653190063680).

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

2153859664320 is a wasteful number, since it uses less digits than its factorization.

2153859664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 2153859664320 in words is "two trillion, one hundred fifty-three billion, eight hundred fifty-nine million, six hundred sixty-four thousand, three hundred twenty".