82775837116800 has 576 divisors, whose sum is σ = 300591206154720. Its totient is φ = 21685063680000.

The previous prime is 82775837116783. The next prime is 82775837116813. The reversal of 82775837116800 is 861173857728.

It is a tau number, because it is divible by the number of its divisors (576).

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, 574516770 + ... + 574660830.

Almost surely, 2^{82775837116800} is an apocalyptic number.

82775837116800 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 82775837116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150295603077360).

82775837116800 is an abundant number, since it is smaller than the sum of its proper divisors (217815369037920).

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

82775837116800 is a wasteful number, since it uses less digits than its factorization.

82775837116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144443 (or 144423 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 82775837116800 in words is "eighty-two trillion, seven hundred seventy-five billion, eight hundred thirty-seven million, one hundred sixteen thousand, eight hundred".