82454284800 has 960 divisors, whose sum is σ = 330322608000. Its totient is φ = 20065812480.

The previous prime is 82454284763. The next prime is 82454284831. The reversal of 82454284800 is 848245428.

82454284800 is a `hidden beast` number, since 8 + 24 + 542 + 8 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×82454284800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190425384 + ... + 190425816.

It is an arithmetic number, because the mean of its divisors is an integer number (344086050).

Almost surely, 2^82454284800 is an apocalyptic number.

82454284800 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 82454284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165161304000).

82454284800 is an abundant number, since it is smaller than the sum of its proper divisors (247868323200).

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

82454284800 is a wasteful number, since it uses less digits than its factorization.

82454284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 82454284800 in words is "eighty-two billion, four hundred fifty-four million, two hundred eighty-four thousand, eight hundred".