83605936512 has 384 divisors, whose sum is σ = 277194873600. Its totient is φ = 21842472960.

The previous prime is 83605936501. The next prime is 83605936523. The reversal of 83605936512 is 21563950638.

It is an interprime number because it is at equal distance from previous prime (83605936501) and next prime (83605936523).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×83605936512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28139187 + ... + 28142157.

It is an arithmetic number, because the mean of its divisors is an integer number (721861650).

Almost surely, 2^83605936512 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 83605936512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138597436800).

83605936512 is an abundant number, since it is smaller than the sum of its proper divisors (193588937088).

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

83605936512 is a wasteful number, since it uses less digits than its factorization.

83605936512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 83605936512 in words is "eighty-three billion, six hundred five million, nine hundred thirty-six thousand, five hundred twelve".