9972682052256 has 1152 divisors, whose sum is σ = 37561193510400. Its totient is φ = 2518301491200.

The previous prime is 9972682052239. The next prime is 9972682052257. The reversal of 9972682052256 is 6522502862799.

9972682052256 is a `hidden beast` number, since 9 + 9 + 7 + 26 + 82 + 0 + 522 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 = 9972682052193 and 9972682052202.

It is not an unprimeable number, because it can be changed into a prime (9972682052257) 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 191 ways as a sum of consecutive naturals, for example, 15272100826 + ... + 15272101478.

It is an arithmetic number, because the mean of its divisors is an integer number (32605202700).

Almost surely, 2^{9972682052256} is an apocalyptic number.

9972682052256 is a gapful number since it is divisible by the number (96) 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 9972682052256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18780596755200).

9972682052256 is an abundant number, since it is smaller than the sum of its proper divisors (27588511458144).

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

9972682052256 is a wasteful number, since it uses less digits than its factorization.

9972682052256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 9972682052256 in words is "nine trillion, nine hundred seventy-two billion, six hundred eighty-two million, fifty-two thousand, two hundred fifty-six".