2154587356656 has 640 divisors, whose sum is σ = 7338816000000. Its totient is φ = 604883220480.

The previous prime is 2154587356643. The next prime is 2154587356673. The reversal of 2154587356656 is 6566537854512.

2154587356656 is a `hidden beast` number, since 2 + 1 + 5 + 458 + 73 + 5 + 66 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2154587356593 and 2154587356602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2624344726 + ... + 2624345546.

It is an arithmetic number, because the mean of its divisors is an integer number (11466900000).

Almost surely, 2^{2154587356656} 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 2154587356656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669408000000).

2154587356656 is an abundant number, since it is smaller than the sum of its proper divisors (5184228643344).

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

2154587356656 is a wasteful number, since it uses less digits than its factorization.

2154587356656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1121 counting only the distinct ones).

The product of its digits is 181440000, while the sum is 63.

The spelling of 2154587356656 in words is "two trillion, one hundred fifty-four billion, five hundred eighty-seven million, three hundred fifty-six thousand, six hundred fifty-six".