2153735095680 has 768 divisors, whose sum is σ = 9188836300800. Its totient is φ = 453762072576.

The previous prime is 2153735095639. The next prime is 2153735095691. The reversal of 2153735095680 is 865905373512.

2153735095680 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 7 + 3 + 509 + 56 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28306969 + ... + 28382951.

It is an arithmetic number, because the mean of its divisors is an integer number (11964630600).

Almost surely, 2^{2153735095680} is an apocalyptic number.

2153735095680 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 2153735095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594418150400).

2153735095680 is an abundant number, since it is smaller than the sum of its proper divisors (7035101205120).

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

2153735095680 is a wasteful number, since it uses less digits than its factorization.

2153735095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76071 (or 76056 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 2153735095680 in words is "two trillion, one hundred fifty-three billion, seven hundred thirty-five million, ninety-five thousand, six hundred eighty".