83689688954880 has 1728 divisors, whose sum is σ = 314060572425600. Its totient is φ = 21385139650560.

The previous prime is 83689688954857. The next prime is 83689688955001. The reversal of 83689688954880 is 8845988698638.

83689688954880 is a `hidden beast` number, since 8 + 3 + 68 + 9 + 68 + 8 + 9 + 5 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 170447431435 + ... + 170447431925.

It is an arithmetic number, because the mean of its divisors is an integer number (181748016450).

Almost surely, 2^{83689688954880} is an apocalyptic number.

83689688954880 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 83689688954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157030286212800).

83689688954880 is an abundant number, since it is smaller than the sum of its proper divisors (230370883470720).

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

83689688954880 is an frugal number, since it uses more digits than its factorization.

83689688954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 45864714240, while the sum is 90.

The spelling of 83689688954880 in words is "eighty-three trillion, six hundred eighty-nine billion, six hundred eighty-eight million, nine hundred fifty-four thousand, eight hundred eighty".