82452777120 has 1152 divisors, whose sum is σ = 359491571712. Its totient is φ = 17418240000.

The previous prime is 82452777109. The next prime is 82452777259. The reversal of 82452777120 is 2177725428.

82452777120 is a `hidden beast` number, since 8 + 2 + 452 + 7 + 77 + 120 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 328496995 + ... + 328497245.

It is an arithmetic number, because the mean of its divisors is an integer number (312058656).

Almost surely, 2^82452777120 is an apocalyptic number.

82452777120 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 82452777120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179745785856).

82452777120 is an abundant number, since it is smaller than the sum of its proper divisors (277038794592).

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

82452777120 is a wasteful number, since it uses less digits than its factorization.

82452777120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 82452777120 in words is "eighty-two billion, four hundred fifty-two million, seven hundred seventy-seven thousand, one hundred twenty".