82553172226560 has 1600 divisors, whose sum is σ = 342919708876800. Its totient is φ = 18592050216960.

The previous prime is 82553172226489. The next prime is 82553172226729. The reversal of 82553172226560 is 6562227135528.

82553172226560 is a `hidden beast` number, since 8 + 2 + 5 + 5 + 3 + 1 + 72 + 2 + 2 + 6 + 560 = 666.

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 = 82553172226497 and 82553172226506.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30907214025 + ... + 30907216695.

It is an arithmetic number, because the mean of its divisors is an integer number (214324818048).

Almost surely, 2^{82553172226560} is an apocalyptic number.

82553172226560 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 82553172226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171459854438400).

82553172226560 is an abundant number, since it is smaller than the sum of its proper divisors (260366536650240).

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

82553172226560 is a wasteful number, since it uses less digits than its factorization.

82553172226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 82553172226560 in words is "eighty-two trillion, five hundred fifty-three billion, one hundred seventy-two million, two hundred twenty-six thousand, five hundred sixty".