2153691673056 has 432 divisors, whose sum is σ = 7802087215104. Its totient is φ = 551517120000.

The previous prime is 2153691673037. The next prime is 2153691673073. The reversal of 2153691673056 is 6503761963512.

2153691673056 is a `hidden beast` number, since 21 + 536 + 9 + 1 + 6 + 7 + 30 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2153691672993 and 2153691673011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17257281 + ... + 17381631.

It is an arithmetic number, because the mean of its divisors is an integer number (18060387072).

Almost surely, 2^{2153691673056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153691673056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901043607552).

2153691673056 is an abundant number, since it is smaller than the sum of its proper divisors (5648395542048).

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

2153691673056 is a wasteful number, since it uses less digits than its factorization.

2153691673056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124467 (or 124445 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 2153691673056 in words is "two trillion, one hundred fifty-three billion, six hundred ninety-one million, six hundred seventy-three thousand, fifty-six".