9825445974960 has 1600 divisors, whose sum is σ = 44030395588608. Its totient is φ = 1972802304000.

The previous prime is 9825445974847. The next prime is 9825445974961. The reversal of 9825445974960 is 694795445289.

9825445974960 is a `hidden beast` number, since 9 + 8 + 2 + 5 + 4 + 45 + 97 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (9825445974961) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14864517030 + ... + 14864517690.

Almost surely, 2^{9825445974960} is an apocalyptic number.

9825445974960 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 9825445974960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22015197794304).

9825445974960 is an abundant number, since it is smaller than the sum of its proper divisors (34204949613648).

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

9825445974960 is a wasteful number, since it uses less digits than its factorization.

9825445974960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 9825445974960 in words is "nine trillion, eight hundred twenty-five billion, four hundred forty-five million, nine hundred seventy-four thousand, nine hundred sixty".