81320950867200 has 432 divisors, whose sum is σ = 294527170054656. Its totient is φ = 19596112486400.

The previous prime is 81320950867133. The next prime is 81320950867213. The reversal of 81320950867200 is 276805902318.

It is a super-2 number, since 2×81320950867200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34117579 + ... + 36423221.

It is an arithmetic number, because the mean of its divisors is an integer number (681775856608).

Almost surely, 2^{81320950867200} is an apocalyptic number.

81320950867200 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 81320950867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147263585027328).

81320950867200 is an abundant number, since it is smaller than the sum of its proper divisors (213206219187456).

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

81320950867200 is a wasteful number, since it uses less digits than its factorization.

81320950867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305850 (or 2305831 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 81320950867200 in words is "eighty-one trillion, three hundred twenty billion, nine hundred fifty million, eight hundred sixty-seven thousand, two hundred".