83868456557700 has 108 divisors (see below), whose sum is σ = 269985910199460. Its totient is φ = 21760464395520.

The previous prime is 83868456557693. The next prime is 83868456557741. The reversal of 83868456557700 is 775565486838.

83868456557700 is a `hidden beast` number, since 8 + 3 + 8 + 6 + 8 + 4 + 565 + 57 + 7 + 0 + 0 = 666.

83868456557700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3426822964224 + 80441633593476 = 1851168^2 + 8968926^2 .

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, 1259252835 + ... + 1259319434.

Almost surely, 2^{83868456557700} is an apocalyptic number.

It is an amenable number.

83868456557700 is an abundant number, since it is smaller than the sum of its proper divisors (186117453641760).

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

83868456557700 is a wasteful number, since it uses less digits than its factorization.

83868456557700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518572326 (or 2518572316 counting only the distinct ones).

The product of its (nonzero) digits is 1354752000, while the sum is 72.

The spelling of 83868456557700 in words is "eighty-three trillion, eight hundred sixty-eight billion, four hundred fifty-six million, five hundred fifty-seven thousand, seven hundred".