83145216000 has 1664 divisors, whose sum is σ = 372911984640. Its totient is φ = 15925248000.

The previous prime is 83145215999. The next prime is 83145216001. The reversal of 83145216000 is 61254138.

It is an interprime number because it is at equal distance from previous prime (83145215999) and next prime (83145216001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83145216001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2247167982 + ... + 2247168018.

It is an arithmetic number, because the mean of its divisors is an integer number (224105760).

Almost surely, 2^83145216000 is an apocalyptic number.

83145216000 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 83145216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186455992320).

83145216000 is an abundant number, since it is smaller than the sum of its proper divisors (289766768640).

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

83145216000 is a wasteful number, since it uses less digits than its factorization.

83145216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 83145216000 in words is "eighty-three billion, one hundred forty-five million, two hundred sixteen thousand".