83983802787456 has 768 divisors, whose sum is σ = 268821364654080. Its totient is φ = 23024126361600.

The previous prime is 83983802787439. The next prime is 83983802787457. The reversal of 83983802787456 is 65478720838938.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (83983802787457) 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 95 ways as a sum of consecutive naturals, for example, 7524750516 + ... + 7524761676.

It is an arithmetic number, because the mean of its divisors is an integer number (350027818560).

Almost surely, 2^{83983802787456} 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 83983802787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134410682327040).

83983802787456 is an abundant number, since it is smaller than the sum of its proper divisors (184837561866624).

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

83983802787456 is a wasteful number, since it uses less digits than its factorization.

83983802787456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11425 (or 11400 counting only the distinct ones).

The product of its (nonzero) digits is 3901685760, while the sum is 78.

The spelling of 83983802787456 in words is "eighty-three trillion, nine hundred eighty-three billion, eight hundred two million, seven hundred eighty-seven thousand, four hundred fifty-six".