82155956400 has 480 divisors, whose sum is σ = 338240017920. Its totient is φ = 18550840320.

The previous prime is 82155956339. The next prime is 82155956401. The reversal of 82155956400 is 465955128.

82155956400 is a `hidden beast` number, since 8 + 2 + 1 + 559 + 56 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82155956401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6268254 + ... + 6281346.

It is an arithmetic number, because the mean of its divisors is an integer number (704666704).

Almost surely, 2^82155956400 is an apocalyptic number.

82155956400 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 82155956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169120008960).

82155956400 is an abundant number, since it is smaller than the sum of its proper divisors (256084061520).

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

82155956400 is a wasteful number, since it uses less digits than its factorization.

82155956400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13210 (or 13193 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 82155956400 in words is "eighty-two billion, one hundred fifty-five million, nine hundred fifty-six thousand, four hundred".