9826972341552 has 1200 divisors, whose sum is σ = 32795469527040. Its totient is φ = 2831720601600.

The previous prime is 9826972341547. The next prime is 9826972341559. The reversal of 9826972341552 is 2551432796289.

9826972341552 is a `hidden beast` number, since 9 + 8 + 2 + 6 + 9 + 72 + 3 + 4 + 1 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9826972341552.

It is not an unprimeable number, because it can be changed into a prime (9826972341559) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29688738027 + ... + 29688738357.

Almost surely, 2^{9826972341552} is an apocalyptic number.

9826972341552 is a gapful number since it is divisible by the number (92) 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 9826972341552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16397734763520).

9826972341552 is an abundant number, since it is smaller than the sum of its proper divisors (22968497185488).

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

9826972341552 is a wasteful number, since it uses less digits than its factorization.

9826972341552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 498 counting only the distinct ones).

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

The spelling of 9826972341552 in words is "nine trillion, eight hundred twenty-six billion, nine hundred seventy-two million, three hundred forty-one thousand, five hundred fifty-two".