82413158400 has 816 divisors, whose sum is σ = 319855182720. Its totient is φ = 21021327360.

The previous prime is 82413158371. The next prime is 82413158419. The reversal of 82413158400 is 485131428.

82413158400 is a `hidden beast` number, since 8 + 2 + 41 + 31 + 584 + 0 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3583180789 + ... + 3583180811.

Almost surely, 2^82413158400 is an apocalyptic number.

82413158400 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 82413158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159927591360).

82413158400 is an abundant number, since it is smaller than the sum of its proper divisors (237442024320).

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

82413158400 is an frugal number, since it uses more digits than its factorization.

82413158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 82413158400 its reverse (485131428), we get a palindrome (82898289828).

The spelling of 82413158400 in words is "eighty-two billion, four hundred thirteen million, one hundred fifty-eight thousand, four hundred".