82774541520 has 600 divisors, whose sum is σ = 318067845480. Its totient is φ = 19935590400.

The previous prime is 82774541513. The next prime is 82774541567. The reversal of 82774541520 is 2514547728.

82774541520 is a `hidden beast` number, since 8 + 2 + 7 + 74 + 54 + 1 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18341826624 + 64432714896 = 135432^2 + 253836^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 179554090 + ... + 179554550.

Almost surely, 2^82774541520 is an apocalyptic number.

82774541520 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 82774541520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159033922740).

82774541520 is an abundant number, since it is smaller than the sum of its proper divisors (235293303960).

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

82774541520 is a wasteful number, since it uses less digits than its factorization.

82774541520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 82774541520 in words is "eighty-two billion, seven hundred seventy-four million, five hundred forty-one thousand, five hundred twenty".