83606140800 has 2304 divisors, whose sum is σ = 408823833600. Its totient is φ = 15765995520.

The previous prime is 83606140757. The next prime is 83606140801. The reversal of 83606140800 is 804160638.

It is a happy number.

83606140800 is a `hidden beast` number, since 8 + 3 + 606 + 1 + 40 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83606140801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1145289564 + ... + 1145289636.

It is an arithmetic number, because the mean of its divisors is an integer number (177440900).

Almost surely, 2^83606140800 is an apocalyptic number.

83606140800 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 83606140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204411916800).

83606140800 is an abundant number, since it is smaller than the sum of its proper divisors (325217692800).

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

83606140800 is a wasteful number, since it uses less digits than its factorization.

83606140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 83606140800 in words is "eighty-three billion, six hundred six million, one hundred forty thousand, eight hundred".