20256912552096 has 768 divisors, whose sum is σ = 69013505433600. Its totient is φ = 5718640435200.

The previous prime is 20256912552091. The next prime is 20256912552103. The reversal of 20256912552096 is 69025521965202.

It is a happy number.

20256912552096 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 6 + 9 + 1 + 25 + 520 + 96 = 666.

It is a super-2 number, since 2×20256912552096² (a number of 27 digits) contains 22 as substring.

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 (20256912552091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6515570190 + ... + 6515573298.

It is an arithmetic number, because the mean of its divisors is an integer number (89861335200).

Almost surely, 2^{20256912552096} 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 20256912552096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34506752716800).

20256912552096 is an abundant number, since it is smaller than the sum of its proper divisors (48756592881504).

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

20256912552096 is a wasteful number, since it uses less digits than its factorization.

20256912552096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 20256912552096 in words is "twenty trillion, two hundred fifty-six billion, nine hundred twelve million, five hundred fifty-two thousand, ninety-six".