83187751680 has 1080 divisors, whose sum is σ = 345387966000. Its totient is φ = 19050577920.

The previous prime is 83187751679. The next prime is 83187751693. The reversal of 83187751680 is 8615778138.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 238360146 + ... + 238360494.

Almost surely, 2^83187751680 is an apocalyptic number.

83187751680 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 83187751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172693983000).

83187751680 is an abundant number, since it is smaller than the sum of its proper divisors (262200214320).

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

83187751680 is a wasteful number, since it uses less digits than its factorization.

83187751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 83187751680 in words is "eighty-three billion, one hundred eighty-seven million, seven hundred fifty-one thousand, six hundred eighty".