82848976761600 has 1728 divisors, whose sum is σ = 352582763258880. Its totient is φ = 18877808885760.

The previous prime is 82848976761581. The next prime is 82848976761631. The reversal of 82848976761600 is 616767984828.

82848976761600 is a `hidden beast` number, since 8 + 2 + 8 + 4 + 8 + 9 + 7 + 6 + 7 + 6 + 1 + 600 = 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 (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36545643667 + ... + 36545645933.

It is an arithmetic number, because the mean of its divisors is an integer number (204040950960).

Almost surely, 2^{82848976761600} is an apocalyptic number.

82848976761600 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 82848976761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176291381629440).

82848976761600 is an abundant number, since it is smaller than the sum of its proper divisors (269733786497280).

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

82848976761600 is an equidigital number, since it uses as much as digits as its factorization.

82848976761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 82848976761600 in words is "eighty-two trillion, eight hundred forty-eight billion, nine hundred seventy-six million, seven hundred sixty-one thousand, six hundred".