83811087360 has 2112 divisors, whose sum is σ = 412014919680. Its totient is φ = 15182069760.

The previous prime is 83811087343. The next prime is 83811087361. The reversal of 83811087360 is 6378011838.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83811087361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1060899801 + ... + 1060899879.

Almost surely, 2^83811087360 is an apocalyptic number.

83811087360 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 83811087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206007459840).

83811087360 is an abundant number, since it is smaller than the sum of its proper divisors (328203832320).

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

83811087360 is a wasteful number, since it uses less digits than its factorization.

83811087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 83811087360 in words is "eighty-three billion, eight hundred eleven million, eighty-seven thousand, three hundred sixty".