82614272400 has 540 divisors, whose sum is σ = 330142016880. Its totient is φ = 18970329600.

The previous prime is 82614272297. The next prime is 82614272423. The reversal of 82614272400 is 427241628.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14292711 + ... + 14298489.

Almost surely, 2^82614272400 is an apocalyptic number.

82614272400 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 82614272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165071008440).

82614272400 is an abundant number, since it is smaller than the sum of its proper divisors (247527744480).

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

82614272400 is a wasteful number, since it uses less digits than its factorization.

82614272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 82614272400 in words is "eighty-two billion, six hundred fourteen million, two hundred seventy-two thousand, four hundred".