983493771281280 has 3840 divisors, whose sum is σ = 4441939907328000. Its totient is φ = 206194988482560.

The previous prime is 983493771281237. The next prime is 983493771281311. The reversal of 983493771281280 is 82182177394389.

It is a happy number.

983493771281280 is a `hidden beast` number, since 9 + 8 + 3 + 4 + 9 + 377 + 128 + 128 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 983493771281199 and 983493771281208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 141326878441 + ... + 141326885399.

It is an arithmetic number, because the mean of its divisors is an integer number (1156755184200).

Almost surely, 2^{983493771281280} is an apocalyptic number.

983493771281280 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 983493771281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220969953664000).

983493771281280 is an abundant number, since it is smaller than the sum of its proper divisors (3458446136046720).

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

983493771281280 is a wasteful number, since it uses less digits than its factorization.

983493771281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7127 (or 7099 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 983493771281280 in words is "nine hundred eighty-three trillion, four hundred ninety-three billion, seven hundred seventy-one million, two hundred eighty-one thousand, two hundred eighty".