2153558845440 has 1536 divisors, whose sum is σ = 8378739532800. Its totient is φ = 529737449472.

The previous prime is 2153558845423. The next prime is 2153558845441. The reversal of 2153558845440 is 445488553512.

2153558845440 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 5 + 588 + 4 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153558845441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19058042824 + ... + 19058042936.

It is an arithmetic number, because the mean of its divisors is an integer number (5454908550).

Almost surely, 2^{2153558845440} is an apocalyptic number.

2153558845440 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 2153558845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189369766400).

2153558845440 is an abundant number, since it is smaller than the sum of its proper divisors (6225180687360).

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

2153558845440 is an equidigital number, since it uses as much as digits as its factorization.

2153558845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 15360000, while the sum is 54.

The spelling of 2153558845440 in words is "two trillion, one hundred fifty-three billion, five hundred fifty-eight million, eight hundred forty-five thousand, four hundred forty".