82446550770960 has 320 divisors, whose sum is σ = 300065665996800. Its totient is φ = 20749403377152.

The previous prime is 82446550770937. The next prime is 82446550770967. The reversal of 82446550770960 is 6907705564428.

82446550770960 is a `hidden beast` number, since 8 + 2 + 4 + 4 + 6 + 550 + 7 + 70 + 9 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (82446550770967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6974259 + ... + 14612781.

It is an arithmetic number, because the mean of its divisors is an integer number (937705206240).

Almost surely, 2^{82446550770960} is an apocalyptic number.

82446550770960 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 82446550770960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150032832998400).

82446550770960 is an abundant number, since it is smaller than the sum of its proper divisors (217619115225840).

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

82446550770960 is a wasteful number, since it uses less digits than its factorization.

82446550770960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7638827 (or 7638815 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 82446550770960 in words is "eighty-two trillion, four hundred forty-six billion, five hundred fifty million, seven hundred seventy thousand, nine hundred sixty".