82302566400 has 576 divisors, whose sum is σ = 307419442200. Its totient is φ = 21587558400.

The previous prime is 82302566389. The next prime is 82302566431. The reversal of 82302566400 is 466520328.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

82302566400 is a `hidden beast` number, since 8 + 2 + 3 + 0 + 2 + 5 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-5 number, since 5×82302566400⁵ (a number of 56 digits) contains 55555 as substring.

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 35 ways as a sum of consecutive naturals, for example, 1349222370 + ... + 1349222430.

Almost surely, 2^82302566400 is an apocalyptic number.

82302566400 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 82302566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153709721100).

82302566400 is an abundant number, since it is smaller than the sum of its proper divisors (225116875800).

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

82302566400 is an frugal number, since it uses more digits than its factorization.

82302566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 82302566400 in words is "eighty-two billion, three hundred two million, five hundred sixty-six thousand, four hundred".