83121633828300 has 72 divisors (see below), whose sum is σ = 240744755005776. Its totient is φ = 22143081359360.

The previous prime is 83121633828241. The next prime is 83121633828323. The reversal of 83121633828300 is 382833612138.

It is a super-4 number, since 4×83121633828300⁴ (a number of 57 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83121633828300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141504297 + ... + 142090496.

It is an arithmetic number, because the mean of its divisors is an integer number (3343677152858).

Almost surely, 2^{83121633828300} is an apocalyptic number.

It is an amenable number.

83121633828300 is an abundant number, since it is smaller than the sum of its proper divisors (157623121177476).

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

83121633828300 is a wasteful number, since it uses less digits than its factorization.

83121633828300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283595787 (or 283595780 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

It can be divided in two parts, 83121 and 633828300, that added together give a triangular number (633911421 = T₃₅₆₀₆).

The spelling of 83121633828300 in words is "eighty-three trillion, one hundred twenty-one billion, six hundred thirty-three million, eight hundred twenty-eight thousand, three hundred".