83661825800 has 72 divisors (see below), whose sum is σ = 226271117610. Its totient is φ = 28684051200.

The previous prime is 83661825749. The next prime is 83661825803. The reversal of 83661825800 is 852816638.

It can be written as a sum of positive squares in 3 ways, for example, as 41762192164 + 41899633636 = 204358^2 + 204694^2 .

It is a super-3 number, since 3×83661825800³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (83661825803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4258661 + ... + 4278260.

Almost surely, 2^83661825800 is an apocalyptic number.

It is an amenable number.

83661825800 is an abundant number, since it is smaller than the sum of its proper divisors (142609291810).

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

83661825800 is a wasteful number, since it uses less digits than its factorization.

83661825800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8536951 (or 8536935 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 83661825800 in words is "eighty-three billion, six hundred sixty-one million, eight hundred twenty-five thousand, eight hundred".