82898618400 has 1152 divisors, whose sum is σ = 339128294400. Its totient is φ = 19408896000.

The previous prime is 82898618393. The next prime is 82898618459. The reversal of 82898618400 is 481689828.

82898618400 is a `hidden beast` number, since 82 + 89 + 86 + 1 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 820778350 + ... + 820778450.

It is an arithmetic number, because the mean of its divisors is an integer number (294382200).

Almost surely, 2^82898618400 is an apocalyptic number.

82898618400 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 82898618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169564147200).

82898618400 is an abundant number, since it is smaller than the sum of its proper divisors (256229676000).

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

82898618400 is a wasteful number, since it uses less digits than its factorization.

82898618400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 82898618400 in words is "eighty-two billion, eight hundred ninety-eight million, six hundred eighteen thousand, four hundred".