83561186086368 has 96 divisors (see below), whose sum is σ = 221218345222560. Its totient is φ = 27616734289920.

The previous prime is 83561186086363. The next prime is 83561186086373. The reversal of 83561186086368 is 86368068116538.

It is an interprime number because it is at equal distance from previous prime (83561186086363) and next prime (83561186086373).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83561186086363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6928428 + ... + 14667156.

It is an arithmetic number, because the mean of its divisors is an integer number (2304357762735).

Almost surely, 2^{83561186086368} 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 83561186086368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110609172611280).

83561186086368 is an abundant number, since it is smaller than the sum of its proper divisors (137657159136192).

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

83561186086368 is a wasteful number, since it uses less digits than its factorization.

83561186086368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7739700 (or 7739692 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 69.

The spelling of 83561186086368 in words is "eighty-three trillion, five hundred sixty-one billion, one hundred eighty-six million, eighty-six thousand, three hundred sixty-eight".