82945762560 has 720 divisors, whose sum is σ = 310274883072. Its totient is φ = 21134131200.

The previous prime is 82945762541. The next prime is 82945762577. The reversal of 82945762560 is 6526754928.

82945762560 is a `hidden beast` number, since 8 + 2 + 9 + 4 + 5 + 7 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 82945762497 and 82945762506.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 421044382 + ... + 421044578.

Almost surely, 2^82945762560 is an apocalyptic number.

82945762560 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 82945762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155137441536).

82945762560 is an abundant number, since it is smaller than the sum of its proper divisors (227329120512).

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

82945762560 is a wasteful number, since it uses less digits than its factorization.

82945762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 82945762560 in words is "eighty-two billion, nine hundred forty-five million, seven hundred sixty-two thousand, five hundred sixty".