82472784508800 has 1440 divisors, whose sum is σ = 359838489498840. Its totient is φ = 18541716480000.

The previous prime is 82472784508783. The next prime is 82472784508813. The reversal of 82472784508800 is 880548727428.

82472784508800 is a `hidden beast` number, since 8 + 2 + 47 + 2 + 7 + 8 + 4 + 508 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×82472784508800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 774695575 + ... + 774802025.

Almost surely, 2^{82472784508800} is an apocalyptic number.

82472784508800 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 82472784508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179919244749420).

82472784508800 is an abundant number, since it is smaller than the sum of its proper divisors (277365704990040).

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

82472784508800 is a wasteful number, since it uses less digits than its factorization.

82472784508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106562 (or 106529 counting only the distinct ones).

The product of its (nonzero) digits is 64225280, while the sum is 63.

The spelling of 82472784508800 in words is "eighty-two trillion, four hundred seventy-two billion, seven hundred eighty-four million, five hundred eight thousand, eight hundred".