83894110560 has 720 divisors, whose sum is σ = 338907236976. Its totient is φ = 19424821248.

The previous prime is 83894110549. The next prime is 83894110607. The reversal of 83894110560 is 6501149838.

83894110560 is a `hidden beast` number, since 8 + 3 + 89 + 4 + 1 + 1 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48689859 + ... + 48691581.

Almost surely, 2^83894110560 is an apocalyptic number.

83894110560 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 83894110560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169453618488).

83894110560 is an abundant number, since it is smaller than the sum of its proper divisors (255013126416).

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

83894110560 is a wasteful number, since it uses less digits than its factorization.

83894110560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 83894110560 in words is "eighty-three billion, eight hundred ninety-four million, one hundred ten thousand, five hundred sixty".