9825977303040 has 1088 divisors, whose sum is σ = 35060758502400. Its totient is φ = 2338609692672.

The previous prime is 9825977303027. The next prime is 9825977303081. The reversal of 9825977303040 is 403037795289.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 38233374592 + ... + 38233374848.

Almost surely, 2^{9825977303040} 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 9825977303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17530379251200).

9825977303040 is an abundant number, since it is smaller than the sum of its proper divisors (25234781199360).

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

9825977303040 is a wasteful number, since it uses less digits than its factorization.

9825977303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 9825977303040 in words is "nine trillion, eight hundred twenty-five billion, nine hundred seventy-seven million, three hundred three thousand, forty".