81392804329200 has 2880 divisors, whose sum is σ = 352848821944320. Its totient is φ = 15643570176000.

The previous prime is 81392804329097. The next prime is 81392804329201. The reversal of 81392804329200 is 292340829318.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81392804329201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 260040908244 + ... + 260040908556.

It is an arithmetic number, because the mean of its divisors is an integer number (122516952064).

Almost surely, 2^{81392804329200} is an apocalyptic number.

81392804329200 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 81392804329200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176424410972160).

81392804329200 is an abundant number, since it is smaller than the sum of its proper divisors (271456017615120).

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

81392804329200 is a wasteful number, since it uses less digits than its factorization.

81392804329200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 81392804329200 in words is "eighty-one trillion, three hundred ninety-two billion, eight hundred four million, three hundred twenty-nine thousand, two hundred".