83459125189440 has 1344 divisors, whose sum is σ = 399704950794240. Its totient is φ = 16008128962560.

The previous prime is 83459125189423. The next prime is 83459125189463. The reversal of 83459125189440 is 4498152195438.

83459125189440 is a `hidden beast` number, since 8 + 3 + 4 + 5 + 9 + 1 + 2 + 5 + 189 + 440 = 666.

83459125189440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 77301651 + ... + 78373869.

It is an arithmetic number, because the mean of its divisors is an integer number (297399516960).

Almost surely, 2^{83459125189440} is an apocalyptic number.

83459125189440 is a gapful number since it is divisible by the number (80) 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 83459125189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199852475397120).

83459125189440 is an abundant number, since it is smaller than the sum of its proper divisors (316245825604800).

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

83459125189440 is a wasteful number, since it uses less digits than its factorization.

83459125189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072282 (or 1072260 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 83459125189440 in words is "eighty-three trillion, four hundred fifty-nine billion, one hundred twenty-five million, one hundred eighty-nine thousand, four hundred forty".