81368280000 has 1120 divisors, whose sum is σ = 350407833600. Its totient is φ = 18123264000.

The previous prime is 81368279989. The next prime is 81368280001. The reversal of 81368280000 is 8286318.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81368280001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 355319886 + ... + 355320114.

Almost surely, 2^81368280000 is an apocalyptic number.

81368280000 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 81368280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175203916800).

81368280000 is an abundant number, since it is smaller than the sum of its proper divisors (269039553600).

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

81368280000 is a wasteful number, since it uses less digits than its factorization.

81368280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 81368280000 in words is "eighty-one billion, three hundred sixty-eight million, two hundred eighty thousand".