83723668563200 has 108 divisors (see below), whose sum is σ = 207233474625408. Its totient is φ = 33488770406400.

The previous prime is 83723668563191. The next prime is 83723668563203. The reversal of 83723668563200 is 236586632738.

It is a self number, because there is not a number n which added to its sum of digits gives 83723668563200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83723668563203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398634215 + ... + 398844185.

Almost surely, 2^{83723668563200} is an apocalyptic number.

83723668563200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83723668563200 is an abundant number, since it is smaller than the sum of its proper divisors (123509806062208).

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

83723668563200 is a wasteful number, since it uses less digits than its factorization.

83723668563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272300 (or 272281 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 59.

The spelling of 83723668563200 in words is "eighty-three trillion, seven hundred twenty-three billion, six hundred sixty-eight million, five hundred sixty-three thousand, two hundred".