2153116785456 has 320 divisors, whose sum is σ = 7851826339840. Its totient is φ = 549536762880.

The previous prime is 2153116785451. The next prime is 2153116785473. The reversal of 2153116785456 is 6545876113512.

2153116785456 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 116 + 78 + 5 + 456 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2153116785451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335286 + ... + 2102058.

It is an arithmetic number, because the mean of its divisors is an integer number (24536957312).

Almost surely, 2^{2153116785456} is an apocalyptic number.

2153116785456 is a gapful number since it is divisible by the number (26) 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 2153116785456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925913169920).

2153116785456 is an abundant number, since it is smaller than the sum of its proper divisors (5698709554384).

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

2153116785456 is a wasteful number, since it uses less digits than its factorization.

2153116785456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766841 (or 1766829 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 2153116785456 in words is "two trillion, one hundred fifty-three billion, one hundred sixteen million, seven hundred eighty-five thousand, four hundred fifty-six".