81840528000 has 1536 divisors, whose sum is σ = 375518108160. Its totient is φ = 16727040000.

The previous prime is 81840527983. The next prime is 81840528001. The reversal of 81840528000 is 82504818.

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

It is not an unprimeable number, because it can be changed into a prime (81840528001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1341647970 + ... + 1341648030.

It is an arithmetic number, because the mean of its divisors is an integer number (244477935).

Almost surely, 2^81840528000 is an apocalyptic number.

81840528000 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 81840528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187759054080).

81840528000 is an abundant number, since it is smaller than the sum of its proper divisors (293677580160).

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

81840528000 is a wasteful number, since it uses less digits than its factorization.

81840528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 81840528000 in words is "eighty-one billion, eight hundred forty million, five hundred twenty-eight thousand".