83534604160 has 128 divisors (see below), whose sum is σ = 232886808000. Its totient is φ = 28640360448.

The previous prime is 83534604133. The next prime is 83534604169. The reversal of 83534604160 is 6140643538.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83534604169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29254 + ... + 409786.

Almost surely, 2^83534604160 is an apocalyptic number.

83534604160 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 83534604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116443404000).

83534604160 is an abundant number, since it is smaller than the sum of its proper divisors (149352203840).

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

83534604160 is an equidigital number, since it uses as much as digits as its factorization.

83534604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380573 (or 380547 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 83534604160 in words is "eighty-three billion, five hundred thirty-four million, six hundred four thousand, one hundred sixty".