82155939465600 has 3840 divisors, whose sum is σ = 417040342709760. Its totient is φ = 15371845632000.

The previous prime is 82155939465581. The next prime is 82155939465637. The reversal of 82155939465600 is 656493955128.

82155939465600 is a `hidden beast` number, since 8 + 2 + 1 + 559 + 39 + 46 + 5 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×82155939465600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 10637823339 + ... + 10637831061.

It is an arithmetic number, because the mean of its divisors is an integer number (108604255914).

Almost surely, 2^{82155939465600} is an apocalyptic number.

82155939465600 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 82155939465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208520171354880).

82155939465600 is an abundant number, since it is smaller than the sum of its proper divisors (334884403244160).

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

82155939465600 is a wasteful number, since it uses less digits than its factorization.

82155939465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7831 (or 7805 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 82155939465600 in words is "eighty-two trillion, one hundred fifty-five billion, nine hundred thirty-nine million, four hundred sixty-five thousand, six hundred".