83775014400 has 960 divisors, whose sum is σ = 357296417280. Its totient is φ = 16790323200.

The previous prime is 83775014369. The next prime is 83775014509. The reversal of 83775014400 is 441057738.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85746712 + ... + 85747688.

It is an arithmetic number, because the mean of its divisors is an integer number (372183768).

Almost surely, 2^83775014400 is an apocalyptic number.

83775014400 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 83775014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178648208640).

83775014400 is an abundant number, since it is smaller than the sum of its proper divisors (273521402880).

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

83775014400 is a wasteful number, since it uses less digits than its factorization.

83775014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 83775014400 in words is "eighty-three billion, seven hundred seventy-five million, fourteen thousand, four hundred".