984956021280 has 1152 divisors, whose sum is σ = 4486353371136. Its totient is φ = 198045388800.

The previous prime is 984956021261. The next prime is 984956021303. The reversal of 984956021280 is 82120659489.

It is a happy number.

984956021280 is a `hidden beast` number, since 9 + 8 + 4 + 9 + 5 + 602 + 1 + 28 + 0 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92801254 + ... + 92811866.

It is an arithmetic number, because the mean of its divisors is an integer number (3894403968).

Almost surely, 2^984956021280 is an apocalyptic number.

984956021280 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 984956021280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243176685568).

984956021280 is an abundant number, since it is smaller than the sum of its proper divisors (3501397349856).

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

984956021280 is a wasteful number, since it uses less digits than its factorization.

984956021280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10692 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 984956021280 in words is "nine hundred eighty-four billion, nine hundred fifty-six million, twenty-one thousand, two hundred eighty".