82998440616960 has 3168 divisors, whose sum is σ = 347923709952000. Its totient is φ = 18209724825600.

The previous prime is 82998440616943. The next prime is 82998440616977. The reversal of 82998440616960 is 6961604489928.

82998440616960 is a `hidden beast` number, since 8 + 2 + 9 + 9 + 8 + 440 + 61 + 69 + 60 = 666.

82998440616960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (82998440616943) and next prime (82998440616977).

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×82998440616960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 417077590941 + ... + 417077591139.

Almost surely, 2^{82998440616960} is an apocalyptic number.

82998440616960 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 82998440616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173961854976000).

82998440616960 is an abundant number, since it is smaller than the sum of its proper divisors (264925269335040).

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

82998440616960 is a wasteful number, since it uses less digits than its factorization.

82998440616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 82998440616960 in words is "eighty-two trillion, nine hundred ninety-eight billion, four hundred forty million, six hundred sixteen thousand, nine hundred sixty".