9785828052000 has 4320 divisors, whose sum is σ = 49088424857472. Its totient is φ = 1868106240000.

The previous prime is 9785828051957. The next prime is 9785828052001. The reversal of 9785828052000 is 2508285879.

9785828052000 is a `hidden beast` number, since 9 + 7 + 8 + 582 + 8 + 0 + 52 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×9785828052000² (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 (9785828052001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 46378331895 + ... + 46378332105.

Almost surely, 2^{9785828052000} is an apocalyptic number.

9785828052000 is a gapful number since it is divisible by the number (90) 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 9785828052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24544212428736).

9785828052000 is an abundant number, since it is smaller than the sum of its proper divisors (39302596805472).

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

9785828052000 is a wasteful number, since it uses less digits than its factorization.

9785828052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 9785828052000 in words is "nine trillion, seven hundred eighty-five billion, eight hundred twenty-eight million, fifty-two thousand".