83504145600 has 252 divisors, whose sum is σ = 304816839184. Its totient is φ = 21665802240.

The previous prime is 83504145587. The next prime is 83504145649. The reversal of 83504145600 is 654140538.

It is a happy number.

83504145600 is a `hidden beast` number, since 8 + 3 + 5 + 0 + 4 + 1 + 45 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 454437 + ... + 611163.

Almost surely, 2^83504145600 is an apocalyptic number.

83504145600 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 83504145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152408419592).

83504145600 is an abundant number, since it is smaller than the sum of its proper divisors (221312693584).

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

83504145600 is a wasteful number, since it uses less digits than its factorization.

83504145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156792 (or 156774 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 83504145600 in words is "eighty-three billion, five hundred four million, one hundred forty-five thousand, six hundred".