83883916800 has 720 divisors, whose sum is σ = 314722856448. Its totient is φ = 21311078400.

The previous prime is 83883916763. The next prime is 83883916813. The reversal of 83883916800 is 861938838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×83883916800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 296409459 + ... + 296409741.

Almost surely, 2^83883916800 is an apocalyptic number.

83883916800 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 83883916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157361428224).

83883916800 is an abundant number, since it is smaller than the sum of its proper divisors (230838939648).

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

83883916800 is a wasteful number, since it uses less digits than its factorization.

83883916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 83883916800 in words is "eighty-three billion, eight hundred eighty-three million, nine hundred sixteen thousand, eight hundred".