83560663549440 has 1600 divisors, whose sum is σ = 386007125391360. Its totient is φ = 16764428943360.

The previous prime is 83560663549417. The next prime is 83560663549471. The reversal of 83560663549440 is 4494536606538.

83560663549440 is a `hidden beast` number, since 8 + 3 + 5 + 60 + 66 + 35 + 49 + 440 = 666.

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 159 ways as a sum of consecutive naturals, for example, 462944649 + ... + 463125111.

Almost surely, 2^{83560663549440} is an apocalyptic number.

83560663549440 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 83560663549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193003562695680).

83560663549440 is an abundant number, since it is smaller than the sum of its proper divisors (302446461841920).

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

83560663549440 is a wasteful number, since it uses less digits than its factorization.

83560663549440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180545 (or 180520 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 83560663549440 in words is "eighty-three trillion, five hundred sixty billion, six hundred sixty-three million, five hundred forty-nine thousand, four hundred forty".