82601612800 has 720 divisors, whose sum is σ = 258217901568. Its totient is φ = 26011238400.

The previous prime is 82601612791. The next prime is 82601612887. The reversal of 82601612800 is 821610628.

It is a super-2 number, since 2×82601612800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 650406337 + ... + 650406463.

Almost surely, 2^82601612800 is an apocalyptic number.

82601612800 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 82601612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129108950784).

82601612800 is an abundant number, since it is smaller than the sum of its proper divisors (175616288768).

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

82601612800 is a wasteful number, since it uses less digits than its factorization.

82601612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 82601612800 in words is "eighty-two billion, six hundred one million, six hundred twelve thousand, eight hundred".