82121755716000 has 3456 divisors, whose sum is σ = 408938490874368. Its totient is φ = 15749572608000.

The previous prime is 82121755715999. The next prime is 82121755716037. The reversal of 82121755716000 is 61755712128.

82121755716000 is a `hidden beast` number, since 8 + 2 + 1 + 2 + 1 + 75 + 571 + 6 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10702688164 + ... + 10702695836.

It is an arithmetic number, because the mean of its divisors is an integer number (118327109628).

Almost surely, 2^{82121755716000} is an apocalyptic number.

82121755716000 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 82121755716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204469245437184).

82121755716000 is an abundant number, since it is smaller than the sum of its proper divisors (326816735158368).

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

82121755716000 is a wasteful number, since it uses less digits than its factorization.

82121755716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7755 (or 7714 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 82121755716000 in words is "eighty-two trillion, one hundred twenty-one billion, seven hundred fifty-five million, seven hundred sixteen thousand".