83066146600560 has 320 divisors, whose sum is σ = 277376711040000. Its totient is φ = 20487000047616.

The previous prime is 83066146600531. The next prime is 83066146600561. The reversal of 83066146600560 is 6500664166038.

It is a super-2 number, since 2×83066146600560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83066146600561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 661676517 + ... + 661802043.

It is an arithmetic number, because the mean of its divisors is an integer number (866802222000).

Almost surely, 2^{83066146600560} is an apocalyptic number.

83066146600560 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 83066146600560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138688355520000).

83066146600560 is an abundant number, since it is smaller than the sum of its proper divisors (194310564439440).

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

83066146600560 is a wasteful number, since it uses less digits than its factorization.

83066146600560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128368 (or 128362 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 83066146600560 in words is "eighty-three trillion, sixty-six billion, one hundred forty-six million, six hundred thousand, five hundred sixty".