82954690560 has 1344 divisors, whose sum is σ = 365083490304. Its totient is φ = 16986931200.

The previous prime is 82954690541. The next prime is 82954690583. The reversal of 82954690560 is 6509645928.

It is a happy number.

82954690560 is a `hidden beast` number, since 8 + 2 + 9 + 546 + 90 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×82954690560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82954690497 and 82954690506.

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, 1359912930 + ... + 1359912990.

Almost surely, 2^82954690560 is an apocalyptic number.

82954690560 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 82954690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182541745152).

82954690560 is an abundant number, since it is smaller than the sum of its proper divisors (282128799744).

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

82954690560 is a wasteful number, since it uses less digits than its factorization.

82954690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 82954690560 in words is "eighty-two billion, nine hundred fifty-four million, six hundred ninety thousand, five hundred sixty".