81354480480 has 864 divisors, whose sum is σ = 359134933248. Its totient is φ = 16605388800.

The previous prime is 81354480451. The next prime is 81354480481. The reversal of 81354480480 is 8408445318.

81354480480 is a `hidden beast` number, since 81 + 3 + 54 + 48 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81354480481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28434250 + ... + 28437110.

It is an arithmetic number, because the mean of its divisors is an integer number (415665432).

Almost surely, 2^81354480480 is an apocalyptic number.

81354480480 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 81354480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179567466624).

81354480480 is an abundant number, since it is smaller than the sum of its proper divisors (277780452768).

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

81354480480 is a wasteful number, since it uses less digits than its factorization.

81354480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 81354480480 in words is "eighty-one billion, three hundred fifty-four million, four hundred eighty thousand, four hundred eighty".