82122465600 has 420 divisors, whose sum is σ = 344988412384. Its totient is φ = 18770641920.

The previous prime is 82122465577. The next prime is 82122465613. The reversal of 82122465600 is 656422128.

It is a happy number.

82122465600 is a `hidden beast` number, since 8 + 2 + 1 + 2 + 2 + 46 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 861939 + ... + 952461.

Almost surely, 2^82122465600 is an apocalyptic number.

82122465600 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 82122465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172494206192).

82122465600 is an abundant number, since it is smaller than the sum of its proper divisors (262865946784).

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

82122465600 is a wasteful number, since it uses less digits than its factorization.

82122465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90564 (or 90540 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 82122465600 its reverse (656422128), we get a palindrome (82778887728).

The spelling of 82122465600 in words is "eighty-two billion, one hundred twenty-two million, four hundred sixty-five thousand, six hundred".